Search a number
-
+
337003340040 = 23325936120389
BaseRepresentation
bin1001110011101101111…
…01101110000100001000
31012012212100020110120200
410321312331232010020
521010140323340130
6414452303052200
733230154061233
oct4716675560410
91165770213520
10337003340040
1111aa16666364
12553918a1060
1325a190c8ca3
141244d73641a
158b76061760
hex4e76f6e108

337003340040 has 48 divisors (see below), whose sum is σ = 1095260856300. Its totient is φ = 89867557248.

The previous prime is 337003340021. The next prime is 337003340071. The reversal of 337003340040 is 40043300733.

337003340040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 285790744836 + 51212595204 = 534594^2 + 226302^2 .

It is a super-2 number, since 2×3370033400402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 337003339986 and 337003340013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468059835 + ... + 468060554.

Almost surely, 2337003340040 is an apocalyptic number.

337003340040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

337003340040 is an abundant number, since it is smaller than the sum of its proper divisors (758257516260).

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

337003340040 is a wasteful number, since it uses less digits than its factorization.

337003340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936120406 (or 936120399 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

Adding to 337003340040 its reverse (40043300733), we get a palindrome (377046640773).

The spelling of 337003340040 in words is "three hundred thirty-seven billion, three million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 936120389 1872240778 2808361167 3744481556 4680601945 5616722334 7488963112 8425083501 9361203890 11233444668 14041805835 16850167002 18722407780 22466889336 28083611670 33700334004 37444815560 42125417505 56167223340 67400668008 84250835010 112334446680 168501670020 337003340040