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340938432 = 26321931153
BaseRepresentation
bin10100010100100…
…100111011000000
3212202112110121100
4110110210323000
51144240012212
653455254400
711306633412
oct2424447300
9782473540
10340938432
111654a60aa
129621a400
1355832823
14333cc9b2
151ede8bdc
hex14524ec0

340938432 has 84 divisors (see below), whose sum is σ = 1028705080. Its totient is φ = 107661312.

The previous prime is 340938431. The next prime is 340938463. The reversal of 340938432 is 234839043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (340938431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4633 + ... + 26520.

Almost surely, 2340938432 is an apocalyptic number.

340938432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514352540).

340938432 is an abundant number, since it is smaller than the sum of its proper divisors (687766648).

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

340938432 is a wasteful number, since it uses less digits than its factorization.

340938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31190 (or 31177 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 340938432 is about 18464.5181903022. The cubic root of 340938432 is about 698.5947536521.

The spelling of 340938432 in words is "three hundred forty million, nine hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 31153 62306 93459 124612 186918 249224 280377 373836 498448 560754 591907 747672 996896 1121508 1183814 1495344 1775721 1993792 2243016 2367628 2990688 3551442 4486032 4735256 5327163 5981376 7102884 8972064 9470512 10654326 14205768 17944128 18941024 21308652 28411536 37882048 42617304 56823072 85234608 113646144 170469216 340938432