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345184704 = 26321931541
BaseRepresentation
bin10100100100110…
…001100111000000
3220001112012101200
4110210301213000
51201331402304
654130301200
711361010254
oct2444614700
9801465350
10345184704
11167936417
1297727800
135668b507
1433bb6264
1520486e39
hex149319c0

345184704 has 84 divisors (see below), whose sum is σ = 1041516840. Its totient is φ = 109002240.

The previous prime is 345184691. The next prime is 345184727. The reversal of 345184704 is 407481543.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4827 + ... + 26714.

It is an arithmetic number, because the mean of its divisors is an integer number (12399010).

Almost surely, 2345184704 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 345184704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520758420).

345184704 is an abundant number, since it is smaller than the sum of its proper divisors (696332136).

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

345184704 is a wasteful number, since it uses less digits than its factorization.

345184704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31578 (or 31565 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 345184704 is about 18579.1470202483. The cubic root of 345184704 is about 701.4830489296.

The spelling of 345184704 in words is "three hundred forty-five million, one hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 31541 63082 94623 126164 189246 252328 283869 378492 504656 567738 599279 756984 1009312 1135476 1198558 1513968 1797837 2018624 2270952 2397116 3027936 3595674 4541904 4794232 5393511 6055872 7191348 9083808 9588464 10787022 14382696 18167616 19176928 21574044 28765392 38353856 43148088 57530784 86296176 115061568 172592352 345184704