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320696464 = 24114372
BaseRepresentation
bin10011000111010…
…111000010010000
3211100110001211211
4103013113002100
51124044241324
651453345504
710642606054
oct2307270220
9740401754
10320696464
11155030000
128b498294
135159622a
143083dc64
151d24b294
hex131d7090

320696464 has 75 divisors (see below), whose sum is σ = 702451785. Its totient is φ = 141831360.

The previous prime is 320696461. The next prime is 320696477. The reversal of 320696464 is 464696023.

320696464 = T449 + T450 + ... + T1262.

The square root of 320696464 is 17908.

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., 286963600 + 33732864 = 16940^2 + 5808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320696461) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8667454 + ... + 8667490.

Almost surely, 2320696464 is an apocalyptic number.

320696464 is the 17908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320696464

320696464 is an abundant number, since it is smaller than the sum of its proper divisors (381755321).

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

320696464 is an frugal number, since it uses more digits than its factorization.

320696464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The cubic root of 320696464 is about 684.4862427233.

Multiplying 320696464 by its product of nonzero digits (186624), we get a square (59849656897536 = 77362562).

The spelling of 320696464 in words is "three hundred twenty million, six hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 121 148 176 242 296 407 484 592 814 968 1331 1369 1628 1936 2662 2738 3256 4477 5324 5476 6512 8954 10648 10952 14641 15059 17908 21296 21904 29282 30118 35816 49247 58564 60236 71632 98494 117128 120472 165649 196988 234256 240944 331298 393976 541717 662596 787952 1083434 1325192 1822139 2166868 2650384 3644278 4333736 7288556 8667472 14577112 20043529 29154224 40087058 80174116 160348232 320696464