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376338623332 = 227229577114749
BaseRepresentation
bin1010111100111111000…
…01111010101101100100
31022222101200111220011211
411132133201322231210
522131220141421312
6444515414441204
736122010342400
oct5363741725544
91288350456154
10376338623332
11135671383951
1260b2b063204
1329647543b49
1414301912100
159bc94e53a7
hex579f87ab64

376338623332 has 72 divisors (see below), whose sum is σ = 793916235000. Its totient is φ = 155455082496.

The previous prime is 376338623329. The next prime is 376338623341. The reversal of 376338623332 is 233326833673.

It can be written as a sum of positive squares in 4 ways, for example, as 128089546816 + 248249076516 = 357896^2 + 498246^2 .

It is a super-2 number, since 2×3763386233322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222294 + ... + 3337042.

It is an arithmetic number, because the mean of its divisors is an integer number (11026614375).

Almost surely, 2376338623332 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 376338623332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396958117500).

376338623332 is an abundant number, since it is smaller than the sum of its proper divisors (417577611668).

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

376338623332 is a wasteful number, since it uses less digits than its factorization.

376338623332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115373 (or 115364 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 49.

The spelling of 376338623332 in words is "three hundred seventy-six billion, three hundred thirty-eight million, six hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 577 812 1154 1421 2308 2842 4039 5684 8078 16156 16733 28273 33466 56546 66932 113092 114749 117131 229498 234262 458996 468524 803243 819917 1606486 1639834 3212972 3279668 3327721 5622701 6655442 11245402 13310884 22490804 23294047 46588094 66210173 93176188 132420346 163058329 264840692 326116658 463471211 652233316 926942422 1853884844 1920095017 3244298477 3840190034 6488596954 7680380068 12977193908 13440665119 26881330238 53762660476 94084655833 188169311666 376338623332