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412936704 = 29353319
BaseRepresentation
bin11000100111001…
…110101000000000
31001210000100200000
4120213032220000
51321202433304
6104550400000
713142622045
oct3047165000
91053010600
10412936704
111a2101504
12b6360000
1367720a5b
143cbb11cc
15263bb939
hex189cea00

412936704 has 120 divisors (see below), whose sum is σ = 1236275040. Its totient is φ = 137604096.

The previous prime is 412936679. The next prime is 412936717. The reversal of 412936704 is 407639214.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 122757 + ... + 126075.

It is an arithmetic number, because the mean of its divisors is an integer number (10302292).

Almost surely, 2412936704 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 412936704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618137520).

412936704 is an abundant number, since it is smaller than the sum of its proper divisors (823338336).

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

412936704 is an frugal number, since it uses more digits than its factorization.

412936704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 412936704 is about 20320.8440769570. The cubic root of 412936704 is about 744.6653777036.

The spelling of 412936704 in words is "four hundred twelve million, nine hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3319 3456 3888 4608 5184 6638 6912 7776 9957 10368 13276 13824 15552 19914 20736 26552 29871 31104 39828 41472 53104 59742 62208 79656 89613 106208 119484 124416 159312 179226 212416 238968 268839 318624 358452 424832 477936 537678 637248 716904 806517 849664 955872 1075356 1274496 1433808 1613034 1699328 1911744 2150712 2548992 2867616 3226068 3823488 4301424 5097984 5735232 6452136 7646976 8602848 11470464 12904272 15293952 17205696 22940928 25808544 34411392 45881856 51617088 68822784 103234176 137645568 206468352 412936704