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3474114480 = 2432543112213
BaseRepresentation
bin1100111100010010…
…1100011110110000
322222010011022010200
43033010230132300
524103333130410
61332422155200
7152043325434
oct31704543660
98863138120
103474114480
1115230576a1
1280b582b00
134349a5355
1424d5809c4
15154ee73c0
hexcf12c7b0

3474114480 has 120 divisors (see below), whose sum is σ = 11938671888. Its totient is φ = 904877568.

The previous prime is 3474114467. The next prime is 3474114521. The reversal of 3474114480 is 844114743.

It is a happy number.

3474114480 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 (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25147 + ... + 87066.

Almost surely, 23474114480 is an apocalyptic number.

3474114480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3474114480 is an abundant number, since it is smaller than the sum of its proper divisors (8464557408).

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

3474114480 is a wasteful number, since it uses less digits than its factorization.

3474114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112275 (or 112266 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3474114480 is about 58941.6192515950. The cubic root of 3474114480 is about 1514.5421875850.

The spelling of 3474114480 in words is "three billion, four hundred seventy-four million, one hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 112213 224426 336639 448852 561065 673278 897704 1009917 1122130 1346556 1683195 1795408 2019834 2244260 2693112 3366390 4039668 4488520 4825159 5049585 5386224 6732780 8079336 8977040 9650318 10099170 13465560 14475477 16158672 19300636 20198340 24125795 26931120 28950954 38601272 40396680 43426431 48251590 57901908 72377385 77202544 80793360 86852862 96503180 115803816 144754770 173705724 193006360 217132155 231607632 289509540 347411448 386012720 434264310 579019080 694822896 868528620 1158038160 1737057240 3474114480