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30740600 = 23521189157
BaseRepresentation
bin111010101000…
…1000001111000
32010211210011202
41311101001320
530332144400
63014513332
7522201512
oct165210170
963753152
1030740600
1116396960
12a365848
1364a4107
144122bb2
152a734d5
hex1d51078

30740600 has 96 divisors (see below), whose sum is σ = 79347600. Its totient is φ = 10982400.

The previous prime is 30740597. The next prime is 30740617. The reversal of 30740600 is 604703.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 195722 + ... + 195878.

Almost surely, 230740600 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 30740600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39673800).

30740600 is an abundant number, since it is smaller than the sum of its proper divisors (48607000).

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

30740600 is a wasteful number, since it uses less digits than its factorization.

30740600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 30740600 is about 5544.4206189646. The cubic root of 30740600 is about 313.2594010971.

The spelling of 30740600 in words is "thirty million, seven hundred forty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 157 178 200 220 275 314 356 440 445 550 628 712 785 890 979 1100 1256 1570 1727 1780 1958 2200 2225 3140 3454 3560 3916 3925 4450 4895 6280 6908 7832 7850 8635 8900 9790 13816 13973 15700 17270 17800 19580 24475 27946 31400 34540 39160 43175 48950 55892 69080 69865 86350 97900 111784 139730 153703 172700 195800 279460 307406 345400 349325 558920 614812 698650 768515 1229624 1397300 1537030 2794600 3074060 3842575 6148120 7685150 15370300 30740600