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3474457680 = 243531466997
BaseRepresentation
bin1100111100011000…
…0000010001010000
322222010210201220210
43033012000101100
524103430121210
61332433404120
7152046255141
oct31706002120
98863721823
103474457680
111523271531
1280b709640
13434a95625
1424d62dac8
15155063e20
hexcf180450

3474457680 has 80 divisors (see below), whose sum is σ = 11118288384. Its totient is φ = 896632320.

The previous prime is 3474457661. The next prime is 3474457699. The reversal of 3474457680 is 867544743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3474457661) and next prime (3474457699).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34744576802 = 24143712340221964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226059 + ... + 240938.

Almost surely, 23474457680 is an apocalyptic number.

3474457680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3474457680 is an abundant number, since it is smaller than the sum of its proper divisors (7643830704).

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

3474457680 is a wasteful number, since it uses less digits than its factorization.

3474457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467044 (or 467038 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The square root of 3474457680 is about 58944.5305350717. The cubic root of 3474457680 is about 1514.5920586880.

The spelling of 3474457680 in words is "three billion, four hundred seventy-four million, four hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 466997 933994 1400991 1867988 2334985 2801982 3735976 4669970 5603964 7004955 7471952 9339940 11207928 14009910 14476907 18679880 22415856 28019820 28953814 37359760 43430721 56039640 57907628 72384535 86861442 112079280 115815256 144769070 173722884 217153605 231630512 289538140 347445768 434307210 579076280 694891536 868614420 1158152560 1737228840 3474457680