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816641430 = 235113766883
BaseRepresentation
bin110000101011001…
…111010110010110
32002220122200102220
4300223033112112
53133030011210
6213011243210
726144223543
oct6053172626
92086580386
10816641430
11389a77880
121a95a9506
1310025b6a7
147a65bbca
154ba62c70
hex30acf596

816641430 has 64 divisors (see below), whose sum is σ = 2195935488. Its totient is φ = 192620160.

The previous prime is 816641429. The next prime is 816641443. The reversal of 816641430 is 34146618.

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

It is a junction number, because it is equal to n+sod(n) for n = 816641391 and 816641400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21232 + ... + 45651.

It is an arithmetic number, because the mean of its divisors is an integer number (34311492).

Almost surely, 2816641430 is an apocalyptic number.

816641430 is an abundant number, since it is smaller than the sum of its proper divisors (1379294058).

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

816641430 is a wasteful number, since it uses less digits than its factorization.

816641430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66941.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 816641430 is about 28576.9387793724. The cubic root of 816641430 is about 934.7105321814.

It can be divided in two parts, 816 and 641430, that added together give a palindrome (642246).

The spelling of 816641430 in words is "eight hundred sixteen million, six hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 66883 133766 200649 334415 401298 668830 735713 1003245 1471426 2006490 2207139 2474671 3678565 4414278 4949342 7357130 7424013 11035695 12373355 14848026 22071390 24746710 27221381 37120065 54442762 74240130 81664143 136106905 163328286 272213810 408320715 816641430