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342551264 = 25113732609
BaseRepresentation
bin10100011010101…
…110101011100000
3212212120101222212
4110122232223200
51200143120024
653554021252
711326431506
oct2432565340
9785511885
10342551264
111663a7920
1296877828
1355c78973
14336cc676
1520116a0e
hex146aeae0

342551264 has 48 divisors (see below), whose sum is σ = 737961840. Its totient is φ = 155228160.

The previous prime is 342551263. The next prime is 342551267. The reversal of 342551264 is 462155243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 342551264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342551263) 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, 129992 + ... + 132600.

It is an arithmetic number, because the mean of its divisors is an integer number (15374205).

Almost surely, 2342551264 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 342551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368980920).

342551264 is an abundant number, since it is smaller than the sum of its proper divisors (395410576).

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

342551264 is a wasteful number, since it uses less digits than its factorization.

342551264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2995 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 342551264 is about 18508.1404792594. The cubic root of 342551264 is about 699.6946041963.

The spelling of 342551264 in words is "three hundred forty-two million, five hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 373 746 1492 2609 2984 4103 5218 5968 8206 10436 11936 16412 20872 28699 32824 41744 57398 65648 83488 114796 131296 229592 459184 918368 973157 1946314 3892628 7785256 10704727 15570512 21409454 31141024 42818908 85637816 171275632 342551264