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1690362368 = 29232792
BaseRepresentation
bin110010011000000…
…1110001000000000
311100210201022020122
41210300032020000
511430213043433
6435422155412
756613562112
oct14460161000
94323638218
101690362368
117981902a2
123b2122b68
1320c283926
141206d73b2
159d5ed198
hex64c0e200

1690362368 has 90 divisors (see below), whose sum is σ = 3575909799. Its totient is φ = 798200832.

The previous prime is 1690362347. The next prime is 1690362407. The reversal of 1690362368 is 8632630961.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 845181184 + 845181184 = 29072^2 + 29072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=29072.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21396953 + ... + 21397031.

Almost surely, 21690362368 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 1690362368

1690362368 is an abundant number, since it is smaller than the sum of its proper divisors (1885547431).

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

1690362368 is an frugal number, since it uses more digits than its factorization.

1690362368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 1690362368 is about 41114.0166853106. The cubic root of 1690362368 is about 1191.2235533232.

The spelling of 1690362368 in words is "one billion, six hundred ninety million, three hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 256 316 368 512 529 632 736 1058 1264 1472 1817 2116 2528 2944 3634 4232 5056 5888 6241 7268 8464 10112 11776 12482 14536 16928 20224 24964 29072 33856 40448 41791 49928 58144 67712 83582 99856 116288 135424 143543 167164 199712 232576 270848 287086 334328 399424 465152 574172 668656 798848 930304 1148344 1337312 1597696 2296688 2674624 3195392 3301489 4593376 5349248 6602978 9186752 10698496 13205956 18373504 21396992 26411912 36747008 52823824 73494016 105647648 211295296 422590592 845181184 1690362368