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345506448 = 24372712069
BaseRepresentation
bin10100100110000…
…000001010010000
3220002010112202010
4110212000022100
51201422201243
654141222520
711363520300
oct2446001220
9802115663
10345506448
11168036121
1297861a40
1356771ab1
1433c5b600
15204ec433
hex14980290

345506448 has 120 divisors (see below), whose sum is σ = 1053414720. Its totient is φ = 97278720.

The previous prime is 345506443. The next prime is 345506459. The reversal of 345506448 is 844605543.

It is not an unprimeable number, because it can be changed into a prime (345506443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165958 + ... + 168026.

It is an arithmetic number, because the mean of its divisors is an integer number (8778456).

Almost surely, 2345506448 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 345506448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526707360).

345506448 is an abundant number, since it is smaller than the sum of its proper divisors (707908272).

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

345506448 is a wasteful number, since it uses less digits than its factorization.

345506448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 345506448 is about 18587.8037433151. The cubic root of 345506448 is about 701.7009302281.

The spelling of 345506448 in words is "three hundred forty-five million, five hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 784 852 994 1136 1176 1491 1704 1988 2069 2352 2982 3408 3479 3976 4138 5964 6207 6958 7952 8276 10437 11928 12414 13916 14483 16552 20874 23856 24828 27832 28966 33104 41748 43449 49656 55664 57932 83496 86898 99312 101381 115864 146899 166992 173796 202762 231728 293798 304143 347592 405524 440697 587596 608286 695184 811048 881394 1028293 1175192 1216572 1622096 1762788 2056586 2350384 2433144 3084879 3525576 4113172 4866288 6169758 7051152 7198051 8226344 12339516 14396102 16452688 21594153 24679032 28792204 43188306 49358064 57584408 86376612 115168816 172753224 345506448