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3412368480 = 25357109101
BaseRepresentation
bin1100101101100100…
…1001110001100000
322210210222021112210
43023121021301200
523442031242410
61322334522120
7150363440103
oct31331116140
98723867483
103412368480
1114a1213a44
127b2966340
13424c66761
142452aa73a
1514e89c220
hexcb649c60

3412368480 has 48 divisors (see below), whose sum is σ = 10748962224. Its totient is φ = 909964800.

The previous prime is 3412368439. The next prime is 3412368521. The reversal of 3412368480 is 848632143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3412368439) and next prime (3412368521).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3554071 + ... + 3555030.

It is an arithmetic number, because the mean of its divisors is an integer number (223936713).

Almost surely, 23412368480 is an apocalyptic number.

3412368480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412368480 is an abundant number, since it is smaller than the sum of its proper divisors (7336593744).

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

3412368480 is a wasteful number, since it uses less digits than its factorization.

3412368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109119 (or 7109111 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3412368480 is about 58415.4815096135. The cubic root of 3412368480 is about 1505.5157638168.

The spelling of 3412368480 in words is "three billion, four hundred twelve million, three hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7109101 14218202 21327303 28436404 35545505 42654606 56872808 71091010 85309212 106636515 113745616 142182020 170618424 213273030 227491232 284364040 341236848 426546060 568728080 682473696 853092120 1137456160 1706184240 3412368480