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1346740704 = 25325099187
BaseRepresentation
bin101000001000101…
…1010000111100000
310110212010111221100
41100101122013200
510224231200304
6341345154400
745242051511
oct12021320740
93425114840
101346740704
11631222251
1231702ba00
131860219ba
14cac0aa08
157d374439
hex5045a1e0

1346740704 has 72 divisors (see below), whose sum is σ = 3837735720. Its totient is φ = 447982848.

The previous prime is 1346740687. The next prime is 1346740711. The reversal of 1346740704 is 4070476431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 141999 + ... + 151185.

It is an arithmetic number, because the mean of its divisors is an integer number (53301885).

Almost surely, 21346740704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346740704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918867860).

1346740704 is an abundant number, since it is smaller than the sum of its proper divisors (2490995016).

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

1346740704 is a wasteful number, since it uses less digits than its factorization.

1346740704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1346740704 is about 36697.9659381825. The cubic root of 1346740704 is about 1104.3192995775.

The spelling of 1346740704 in words is "one billion, three hundred forty-six million, seven hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 509 1018 1527 2036 3054 4072 4581 6108 8144 9162 9187 12216 16288 18324 18374 24432 27561 36648 36748 48864 55122 73296 73496 82683 110244 146592 146992 165366 220488 293984 330732 440976 661464 881952 1322928 2645856 4676183 9352366 14028549 18704732 28057098 37409464 42085647 56114196 74818928 84171294 112228392 149637856 168342588 224456784 336685176 448913568 673370352 1346740704