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345997392 = 243131095087
BaseRepresentation
bin10100100111111…
…000000001010000
3220010001111012020
4110213320001100
51202033404032
654155531440
711400633516
oct2447700120
9803044166
10345997392
11168340a64
1297a59b80
13568b43b0
1433d484b6
1520597b2c
hex149f8050

345997392 has 80 divisors (see below), whose sum is σ = 971604480. Its totient is φ = 105463296.

The previous prime is 345997367. The next prime is 345997427. The reversal of 345997392 is 293799543.

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 15 ways as a sum of consecutive naturals, for example, 65473 + ... + 70559.

It is an arithmetic number, because the mean of its divisors is an integer number (12145056).

Almost surely, 2345997392 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 345997392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485802240).

345997392 is an abundant number, since it is smaller than the sum of its proper divisors (625607088).

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

345997392 is a wasteful number, since it uses less digits than its factorization.

345997392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5214 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 51.

The square root of 345997392 is about 18601.0051341319. The cubic root of 345997392 is about 702.0331312843.

The spelling of 345997392 in words is "three hundred forty-five million, nine hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 109 156 208 218 312 327 436 624 654 872 1308 1417 1744 2616 2834 4251 5087 5232 5668 8502 10174 11336 15261 17004 20348 22672 30522 34008 40696 61044 66131 68016 81392 122088 132262 198393 244176 264524 396786 529048 554483 793572 1058096 1108966 1587144 1663449 2217932 3174288 3326898 4435864 6653796 7208279 8871728 13307592 14416558 21624837 26615184 28833116 43249674 57666232 86499348 115332464 172998696 345997392