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3450311144 = 237233377949
BaseRepresentation
bin1100110110100111…
…1001000111101000
322220110100222002122
43031221321013220
524031234424034
61330212050412
7151334106110
oct31551710750
98813328078
103450311144
111510679915
12803603a08
1342ca8ca37
1424a346040
15152d9462e
hexcda791e8

3450311144 has 64 divisors (see below), whose sum is σ = 7738848000. Its totient is φ = 1410038784.

The previous prime is 3450311113. The next prime is 3450311159. The reversal of 3450311144 is 4411130543.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430082 + ... + 438030.

It is an arithmetic number, because the mean of its divisors is an integer number (120919500).

Almost surely, 23450311144 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 3450311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869424000).

3450311144 is an abundant number, since it is smaller than the sum of its proper divisors (4288536856).

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

3450311144 is a wasteful number, since it uses less digits than its factorization.

3450311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3450311144 is about 58739.3491962586. The cubic root of 3450311144 is about 1511.0752314257.

Adding to 3450311144 its reverse (4411130543), we get a palindrome (7861441687).

The spelling of 3450311144 in words is "three billion, four hundred fifty million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 337 644 674 1288 1348 2359 2696 4718 7751 7949 9436 15502 15898 18872 31004 31796 54257 55643 62008 63592 108514 111286 182827 217028 222572 365654 434056 445144 731308 1279789 1462616 2559578 2678813 5119156 5357626 10238312 10715252 18751691 21430504 37503382 61612699 75006764 123225398 150013528 246450796 431288893 492901592 862577786 1725155572 3450311144