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934383408 = 24374196637
BaseRepresentation
bin110111101100011…
…000111100110000
32102010012121001220
4313230120330300
53403200232113
6232415025040
732104061610
oct6754307460
92363177056
10934383408
1143a4870a2
12220b0b180
1311b7748ba
148c14aa40
155706e523
hex37b18f30

934383408 has 80 divisors (see below), whose sum is σ = 2765656320. Its totient is φ = 266289408.

The previous prime is 934383403. The next prime is 934383409. The reversal of 934383408 is 804383439.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 934383408.

It is not an unprimeable number, because it can be changed into a prime (934383403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137466 + ... + 144102.

It is an arithmetic number, because the mean of its divisors is an integer number (34570704).

Almost surely, 2934383408 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 934383408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382828160).

934383408 is an abundant number, since it is smaller than the sum of its proper divisors (1831272912).

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

934383408 is a wasteful number, since it uses less digits than its factorization.

934383408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 934383408 is about 30567.6856827598. The cubic root of 934383408 is about 977.6311689199.

The spelling of 934383408 in words is "nine hundred thirty-four million, three hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 419 838 1257 1676 2514 2933 3352 5028 5866 6637 6704 8799 10056 11732 13274 17598 19911 20112 23464 26548 35196 39822 46459 46928 53096 70392 79644 92918 106192 139377 140784 159288 185836 278754 318576 371672 557508 743344 1115016 2230032 2780903 5561806 8342709 11123612 16685418 19466321 22247224 33370836 38932642 44494448 58398963 66741672 77865284 116797926 133483344 155730568 233595852 311461136 467191704 934383408