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346234464 = 253210111903
BaseRepresentation
bin10100101000110…
…001111001100000
3220010111112101200
4110220301321200
51202114000324
654205001200
711402641632
oct2450617140
9803445350
10346234464
11168493094
1297b53200
1356968284
1433daaa52
15205e2ec9
hex14a31e60

346234464 has 72 divisors (see below), whose sum is σ = 994436352. Its totient is φ = 114259200.

The previous prime is 346234459. The next prime is 346234481. The reversal of 346234464 is 464432643.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3462344642 = 239756608122734592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23137 + ... + 35039.

It is an arithmetic number, because the mean of its divisors is an integer number (13811616).

Almost surely, 2346234464 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 346234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497218176).

346234464 is an abundant number, since it is smaller than the sum of its proper divisors (648201888).

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

346234464 is a wasteful number, since it uses less digits than its factorization.

346234464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12020 (or 12009 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 346234464 is about 18607.3766017674. The cubic root of 346234464 is about 702.1934353834.

The spelling of 346234464 in words is "three hundred forty-six million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 11903 14544 23806 29088 35709 47612 71418 95224 107127 142836 190448 214254 285672 380896 428508 571344 857016 1142688 1202203 1714032 2404406 3428064 3606609 4808812 7213218 9617624 10819827 14426436 19235248 21639654 28852872 38470496 43279308 57705744 86558616 115411488 173117232 346234464