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374632434 = 232111726547
BaseRepresentation
bin10110010101000…
…110111111110010
3222002221022002100
4112111012333302
51231401214214
6101101401230
712166215561
oct2625067762
9862838070
10374632434
11182519990
12a5569216
135c7cbcc7
1437a7dbd8
1522d52309
hex16546ff2

374632434 has 72 divisors (see below), whose sum is σ = 940790448. Its totient is φ = 106830720.

The previous prime is 374632421. The next prime is 374632439. The reversal of 374632434 is 434236473.

It is not an unprimeable number, because it can be changed into a prime (374632439) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 53949 + ... + 60495.

It is an arithmetic number, because the mean of its divisors is an integer number (13066534).

Almost surely, 2374632434 is an apocalyptic number.

374632434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 374632434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470395224).

374632434 is an abundant number, since it is smaller than the sum of its proper divisors (566158014).

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

374632434 is a wasteful number, since it uses less digits than its factorization.

374632434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6580 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 374632434 is about 19355.4238909924. The cubic root of 374632434 is about 720.8890983963.

The spelling of 374632434 in words is "three hundred seventy-four million, six hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 867 1122 1683 1734 2601 3179 3366 5202 6358 6547 9537 13094 19074 19641 28611 39282 57222 58923 72017 111299 117846 144034 216051 222598 333897 432102 648153 667794 1001691 1224289 1296306 1892083 2003382 2448578 3672867 3784166 5676249 7345734 11018601 11352498 17028747 20812913 22037202 34057494 41625826 62438739 124877478 187316217 374632434