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345441525 = 3521113311039
BaseRepresentation
bin10100100101110…
…000010011110101
3220002000020200120
4110211300103311
51201413112100
654140002153
711363130102
oct2445602365
9802006616
10345441525
11167aa1370
1297830359
135674b390
1433c41aa9
15204d80a0
hex149704f5

345441525 has 96 divisors (see below), whose sum is σ = 693288960. Its totient is φ = 149472000.

The previous prime is 345441517. The next prime is 345441529. The reversal of 345441525 is 525144543.

It is not a de Polignac number, because 345441525 - 23 = 345441517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345441529) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331956 + ... + 332994.

It is an arithmetic number, because the mean of its divisors is an integer number (7221760).

Almost surely, 2345441525 is an apocalyptic number.

It is an amenable number.

345441525 is an abundant number, since it is smaller than the sum of its proper divisors (347847435).

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

345441525 is a wasteful number, since it uses less digits than its factorization.

345441525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1102 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 345441525 is about 18586.0572742042. The cubic root of 345441525 is about 701.6569760235.

The spelling of 345441525 in words is "three hundred forty-five million, four hundred forty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 31 33 39 55 65 75 93 143 155 165 195 275 325 341 403 429 465 715 775 825 975 1023 1039 1209 1705 2015 2145 2325 3117 3575 4433 5115 5195 6045 8525 10075 10725 11429 13299 13507 15585 22165 25575 25975 30225 32209 34287 40521 57145 66495 67535 77925 96627 110825 148577 161045 171435 202605 285725 332475 337675 354299 418717 445731 483135 742885 805225 857175 1013025 1062897 1256151 1771495 2093585 2228655 2415675 3714425 4605887 5314485 6280755 8857475 10467925 11143275 13817661 23029435 26572425 31403775 69088305 115147175 345441525