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345465152 = 2623376343
BaseRepresentation
bin10100100101110…
…110000101000000
3220002001110002122
4110211312011000
51201414341102
654140303412
711363256014
oct2445660500
9802043078
10345465152
1116800809a
1297841b68
1356759066
1433c4a544
15204e00a2
hex14976140

345465152 has 56 divisors (see below), whose sum is σ = 734787456. Its totient is φ = 160731648.

The previous prime is 345465151. The next prime is 345465161. The reversal of 345465152 is 251564543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345465151) 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 7 ways as a sum of consecutive naturals, for example, 51293 + ... + 57635.

Almost surely, 2345465152 is an apocalyptic number.

345465152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367393728).

345465152 is an abundant number, since it is smaller than the sum of its proper divisors (389322304).

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

345465152 is a wasteful number, since it uses less digits than its factorization.

345465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6405 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The square root of 345465152 is about 18586.6928742044. The cubic root of 345465152 is about 701.6729726252.

The spelling of 345465152 in words is "three hundred forty-five million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 148 184 296 368 592 736 851 1184 1472 1702 2368 3404 6343 6808 12686 13616 25372 27232 50744 54464 101488 145889 202976 234691 291778 405952 469382 583556 938764 1167112 1877528 2334224 3755056 4668448 5397893 7510112 9336896 10795786 15020224 21591572 43183144 86366288 172732576 345465152