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3404630112 = 253135351473
BaseRepresentation
bin1100101011101110…
…1000100001100000
322210021102010111120
43022323220201200
523433041130422
61321501012240
7150240610212
oct31273504140
98707363446
103404630112
111497908aa4
127b0254080
13423487440
142442545b2
1514dd6e45c
hexcaee8860

3404630112 has 96 divisors (see below), whose sum is σ = 9806414688. Its totient is φ = 1027792896.

The previous prime is 3404630101. The next prime is 3404630113. The reversal of 3404630112 is 2110364043.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404630113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40408 + ... + 91880.

It is an arithmetic number, because the mean of its divisors is an integer number (102150153).

Almost surely, 23404630112 is an apocalyptic number.

3404630112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404630112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903207344).

3404630112 is an abundant number, since it is smaller than the sum of its proper divisors (6401784576).

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

3404630112 is a wasteful number, since it uses less digits than its factorization.

3404630112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51552 (or 51544 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3404630112 is about 58349.2083236782. The cubic root of 3404630112 is about 1504.3768625168.

Adding to 3404630112 its reverse (2110364043), we get a palindrome (5514994155).

The spelling of 3404630112 in words is "three billion, four hundred four million, six hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 8268 11024 16536 22048 33072 51473 66144 102946 154419 205892 308838 411784 617676 669149 823568 1235352 1338298 1647136 2007447 2470704 2676596 2728069 4014894 4941408 5353192 5456138 8029788 8184207 10706384 10912276 16059576 16368414 21412768 21824552 32119152 32736828 35464897 43649104 64238304 65473656 70929794 87298208 106394691 130947312 141859588 212789382 261894624 283719176 425578764 567438352 851157528 1134876704 1702315056 3404630112