Search a number
-
+
332400040320 = 2735173125021
BaseRepresentation
bin1001101011001001001…
…01100001100110000000
31011202222112022121111110
410311210211201212000
520421223402242240
6412411422243320
733005116503315
oct4654445414600
91152875277443
10332400040320
11118a74180127
1254508126540
13254644c4aba
141213421ad0c
1589a6d6ac80
hex4d64961980

332400040320 has 64 divisors (see below), whose sum is σ = 1059525134640. Its totient is φ = 88640010240.

The previous prime is 332400040319. The next prime is 332400040327. The reversal of 332400040320 is 23040004233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3324000403202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332400040327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86560591 + ... + 86564430.

Almost surely, 2332400040320 is an apocalyptic number.

332400040320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332400040320 is an abundant number, since it is smaller than the sum of its proper divisors (727125094320).

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

332400040320 is a wasteful number, since it uses less digits than its factorization.

332400040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173125043 (or 173125031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 332400040320 its reverse (23040004233), we get a palindrome (355440044553).

The spelling of 332400040320 in words is "three hundred thirty-two billion, four hundred million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 173125021 346250042 519375063 692500084 865625105 1038750126 1385000168 1731250210 2077500252 2596875315 2770000336 3462500420 4155000504 5193750630 5540000672 6925000840 8310001008 10387501260 11080001344 13850001680 16620002016 20775002520 22160002688 27700003360 33240004032 41550005040 55400006720 66480008064 83100010080 110800013440 166200020160 332400040320