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354437420 = 2251729103349
BaseRepresentation
bin10101001000000…
…100100100101100
3220200221021201212
4111020010210230
51211213444140
655100453552
711532445151
oct2510044454
9820837655
10354437420
11172086097
129a84a2b8
135857abac
1435104228
15211b3765
hex1520492c

354437420 has 96 divisors (see below), whose sum is σ = 825552000. Its totient is φ = 127217664.

The previous prime is 354437417. The next prime is 354437423. The reversal of 354437420 is 24734453.

It is an interprime number because it is at equal distance from previous prime (354437417) and next prime (354437423).

It is not an unprimeable number, because it can be changed into a prime (354437423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015406 + ... + 1015754.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2354437420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354437420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776000).

354437420 is an abundant number, since it is smaller than the sum of its proper divisors (471114580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354437420 is a wasteful number, since it uses less digits than its factorization.

354437420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 354437420 is about 18826.5084389007. The cubic root of 354437420 is about 707.6956435970.

The spelling of 354437420 in words is "three hundred fifty-four million, four hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 103 116 145 170 206 290 340 349 412 493 515 580 698 986 1030 1396 1745 1751 1972 2060 2465 2987 3490 3502 4930 5933 5974 6980 7004 8755 9860 10121 11866 11948 14935 17510 20242 23732 29665 29870 35020 35947 40484 50605 50779 59330 59740 71894 101210 101558 118660 143788 172057 179735 202420 203116 253895 344114 359470 507790 611099 688228 718940 860285 1015580 1042463 1222198 1720570 2084926 2444396 3055495 3441140 4169852 5212315 6110990 10424630 12221980 17721871 20849260 35443742 70887484 88609355 177218710 354437420