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34492416 = 21237401
BaseRepresentation
bin1000001110010…
…1000000000000
32101220101200220
42003211000000
532312224131
63231143040
7566115660
oct203450000
971811626
1034492416
1118519732
12b674a80
1371b8a1a
14481c1a0
153064e96
hex20e5000

34492416 has 104 divisors (see below), whose sum is σ = 105369024. Its totient is φ = 9830400.

The previous prime is 34492379. The next prime is 34492417. The reversal of 34492416 is 61429443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34492417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85816 + ... + 86216.

Almost surely, 234492416 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 34492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52684512).

34492416 is an abundant number, since it is smaller than the sum of its proper divisors (70876608).

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

34492416 is an equidigital number, since it uses as much as digits as its factorization.

34492416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 413 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 34492416 is about 5873.0244337990. The cubic root of 34492416 is about 325.5176476566.

The spelling of 34492416 in words is "thirty-four million, four hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 401 448 512 672 768 802 896 1024 1203 1344 1536 1604 1792 2048 2406 2688 2807 3072 3208 3584 4096 4812 5376 5614 6144 6416 7168 8421 9624 10752 11228 12288 12832 14336 16842 19248 21504 22456 25664 28672 33684 38496 43008 44912 51328 67368 76992 86016 89824 102656 134736 153984 179648 205312 269472 307968 359296 410624 538944 615936 718592 821248 1077888 1231872 1437184 1642496 2155776 2463744 2874368 4311552 4927488 5748736 8623104 11497472 17246208 34492416