Search a number
-
+
3404266656 = 253743117811
BaseRepresentation
bin1100101011101000…
…1111110010100000
322210020201122221020
43022322033302200
523432443013111
61321445125440
7150234534450
oct31272176240
98706648836
103404266656
11149768aa1a
127b00b9880
1342338ab8b
1424419bd60
1514dceb906
hexcae8fca0

3404266656 has 96 divisors (see below), whose sum is σ = 10450395648. Its totient is φ = 950019840.

The previous prime is 3404266633. The next prime is 3404266669. The reversal of 3404266656 is 6566624043.

3404266656 is digitally balanced in base 2, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30010 + ... + 87801.

It is an arithmetic number, because the mean of its divisors is an integer number (108858288).

Almost surely, 23404266656 is an apocalyptic number.

It is an amenable number.

3404266656 is an abundant number, since it is smaller than the sum of its proper divisors (7046128992).

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

3404266656 is a wasteful number, since it uses less digits than its factorization.

3404266656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117874 (or 117866 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The square root of 3404266656 is about 58346.0937509959. The cubic root of 3404266656 is about 1504.3233281399.

The spelling of 3404266656 in words is "three billion, four hundred four million, two hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 117811 235622 353433 471244 706866 824677 942488 1413732 1649354 1884976 2474031 2827464 3298708 3769952 4948062 5065873 5654928 6597416 9896124 10131746 11309856 13194832 15197619 19792248 20263492 26389664 30395238 35461111 39584496 40526984 60790476 70922222 79168992 81053968 106383333 121580952 141844444 162107936 212766666 243161904 283688888 425533332 486323808 567377776 851066664 1134755552 1702133328 3404266656