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690323076 = 22322921512
BaseRepresentation
bin101001001001010…
…111111010000100
31210002222001020100
4221021113322010
52403210314301
6152300004100
723051435502
oct5111277204
91702861210
10690323076
1132473aa43
12173230630
13b00318c1
1467979672
1540910286
hex29257e84

690323076 has 81 divisors (see below), whose sum is σ = 1819277733. Its totient is φ = 220701600.

The previous prime is 690323021. The next prime is 690323077. The reversal of 690323076 is 670323096.

The square root of 690323076 is 26274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 361988676 + 328334400 = 19026^2 + 18120^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 690323076.

It is not an unprimeable number, because it can be changed into a prime (690323077) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4571601 + ... + 4571751.

Almost surely, 2690323076 is an apocalyptic number.

690323076 is the 26274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690323076

690323076 is an abundant number, since it is smaller than the sum of its proper divisors (1128954657).

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

690323076 is a wasteful number, since it uses less digits than its factorization.

690323076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The cubic root of 690323076 is about 883.7934875873.

Multiplying 690323076 by its sum of digits (36), we get a square (24851630736 = 1576442).

690323076 divided by its sum of digits (36) gives a square (19175641 = 43792).

The spelling of 690323076 in words is "six hundred ninety million, three hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 151 174 261 302 348 453 522 604 841 906 1044 1359 1682 1812 2523 2718 3364 4379 5046 5436 7569 8758 10092 13137 15138 17516 22801 26274 30276 39411 45602 52548 68403 78822 91204 126991 136806 157644 205209 253982 273612 380973 410418 507964 661229 761946 820836 1142919 1322458 1523892 1983687 2285838 2644916 3967374 4571676 5951061 7934748 11902122 19175641 23804244 38351282 57526923 76702564 115053846 172580769 230107692 345161538 690323076