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342350624 = 25711217743
BaseRepresentation
bin10100011001111…
…101101100100000
3212212012012202202
4110121331230200
51200120204444
653545432332
711324634530
oct2431755440
9785165682
10342350624
11166280100
129679b6a8
1355c08545
14336794c0
15200c734e
hex1467db20

342350624 has 144 divisors (see below), whose sum is σ = 897692544. Its totient is φ = 125368320.

The previous prime is 342350623. The next prime is 342350633. The reversal of 342350624 is 426053243.

It is not an unprimeable number, because it can be changed into a prime (342350621) 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, 460397 + ... + 461139.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2342350624 is an apocalyptic number.

342350624 is a gapful number since it is divisible by the number (34) 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 342350624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448846272).

342350624 is an abundant number, since it is smaller than the sum of its proper divisors (555341920).

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

342350624 is a wasteful number, since it uses less digits than its factorization.

342350624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 342350624 is about 18502.7193677038. The cubic root of 342350624 is about 699.5579685467.

The spelling of 342350624 in words is "three hundred forty-two million, three hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 121 136 154 176 187 224 238 242 272 308 352 374 476 484 544 616 743 748 847 952 968 1232 1309 1486 1496 1694 1904 1936 2057 2464 2618 2972 2992 3388 3808 3872 4114 5201 5236 5944 5984 6776 8173 8228 10402 10472 11888 12631 13552 14399 16346 16456 20804 20944 23776 25262 27104 28798 32692 32912 41608 41888 50524 57211 57596 65384 65824 83216 88417 89903 101048 114422 115192 130768 138941 166432 176834 179806 202096 228844 230384 261536 277882 353668 359612 404192 457688 460768 555764 629321 707336 719224 915376 972587 1111528 1258642 1414672 1438448 1528351 1830752 1945174 2223056 2517284 2829344 2876896 3056702 3890348 4446112 5034568 6113404 7780696 10069136 10698457 12226808 15561392 20138272 21396914 24453616 31122784 42793828 48907232 85587656 171175312 342350624