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345158464 = 2672931857
BaseRepresentation
bin10100100100101…
…011001101000000
3220001110212101211
4110210223031000
51201330032324
654125535504
711360540620
oct2444531500
9801425354
10345158464
11167918732
1297714594
135667c5a1
1433baa880
152047e294
hex1492b340

345158464 has 112 divisors (see below), whose sum is σ = 836858880. Its totient is φ = 138055680.

The previous prime is 345158461. The next prime is 345158491. The reversal of 345158464 is 464851543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345158461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402324 + ... + 403180.

Almost surely, 2345158464 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 345158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418429440).

345158464 is an abundant number, since it is smaller than the sum of its proper divisors (491700416).

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

345158464 is a wasteful number, since it uses less digits than its factorization.

345158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 345158464 is about 18578.4408387787. The cubic root of 345158464 is about 701.4652735363.

The spelling of 345158464 in words is "three hundred forty-five million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 64 112 116 124 203 217 224 232 248 406 434 448 464 496 812 857 868 899 928 992 1624 1714 1736 1798 1856 1984 3248 3428 3472 3596 5999 6293 6496 6856 6944 7192 11998 12586 12992 13712 13888 14384 23996 24853 25172 26567 27424 28768 47992 49706 50344 53134 54848 57536 95984 99412 100688 106268 173971 185969 191968 198824 201376 212536 347942 371938 383936 397648 402752 425072 695884 743876 770443 795296 850144 1391768 1487752 1540886 1590592 1700288 2783536 2975504 3081772 5393101 5567072 5951008 6163544 10786202 11134144 11902016 12327088 21572404 24654176 43144808 49308352 86289616 172579232 345158464