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34674143672 = 23723199135281
BaseRepresentation
bin100000010010101111…
…010111000110111000
310022111111112000002102
4200102233113012320
51032003040044142
623532403122532
72335154233610
oct402257270670
9108444460072
1034674143672
1113783717393
126878373448
133367871c9c
14196d125a40
15d7e165532
hex812bd71b8

34674143672 has 64 divisors (see below), whose sum is σ = 77922432000. Its totient is φ = 14142712320.

The previous prime is 34674143671. The next prime is 34674143681. The reversal of 34674143672 is 27634147643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34674143671) 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 15 ways as a sum of consecutive naturals, for example, 188672 + ... + 323952.

It is an arithmetic number, because the mean of its divisors is an integer number (1217538000).

Almost surely, 234674143672 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 34674143672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38961216000).

34674143672 is an abundant number, since it is smaller than the sum of its proper divisors (43248288328).

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

34674143672 is a wasteful number, since it uses less digits than its factorization.

34674143672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135516 (or 135512 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 47.

The spelling of 34674143672 in words is "thirty-four billion, six hundred seventy-four million, one hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 199 322 398 644 796 1288 1393 1592 2786 4577 5572 9154 11144 18308 32039 36616 64078 128156 135281 256312 270562 541124 946967 1082248 1893934 3111463 3787868 6222926 7575736 12445852 21780241 24891704 26920919 43560482 53841838 87120964 107683676 174241928 188446433 215367352 376892866 619181137 753785732 1238362274 1507571464 2476724548 4334267959 4953449096 8668535918 17337071836 34674143672