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361474464 = 25313289643
BaseRepresentation
bin10101100010111…
…010100110100000
3221012011210202010
4111202322212200
51220014140324
655511352520
711646324261
oct2542724640
9835153663
10361474464
1117605212a
12a1082740
1359b72c20
1436016968
1521b03829
hex158ba9a0

361474464 has 48 divisors (see below), whose sum is σ = 1021864032. Its totient is φ = 111222528.

The previous prime is 361474459. The next prime is 361474481. The reversal of 361474464 is 464474163.

361474464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143574 + ... + 146069.

It is an arithmetic number, because the mean of its divisors is an integer number (21288834).

Almost surely, 2361474464 is an apocalyptic number.

It is an amenable number.

361474464 is an abundant number, since it is smaller than the sum of its proper divisors (660389568).

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

361474464 is a wasteful number, since it uses less digits than its factorization.

361474464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289669 (or 289661 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 361474464 is about 19012.4817948631. The cubic root of 361474464 is about 712.3485437383.

It can be divided in two parts, 361 and 474464, that added together give a triangular number (474825 = T974).

The spelling of 361474464 in words is "three hundred sixty-one million, four hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 289643 579286 868929 1158572 1737858 2317144 3475716 3765359 4634288 6951432 7530718 9268576 11296077 13902864 15061436 22592154 27805728 30122872 45184308 60245744 90368616 120491488 180737232 361474464