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1349122752 = 26322342227
BaseRepresentation
bin101000001101001…
…1111101011000000
310111000121112111100
41100122133223000
510230333412002
6341512214400
745301232325
oct12032375300
93430545440
101349122752
116325a998a
1231799a400
13186676cb3
14cb26ab4c
157d69511c
hex5069fac0

1349122752 has 42 divisors (see below), whose sum is σ = 3867018428. Its totient is φ = 449707392.

The previous prime is 1349122729. The next prime is 1349122763. The reversal of 1349122752 is 2572219431.

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 5 ways as a sum of consecutive naturals, for example, 1170538 + ... + 1171689.

Almost surely, 21349122752 is an apocalyptic number.

1349122752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1349122752 is an abundant number, since it is smaller than the sum of its proper divisors (2517895676).

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

1349122752 is a wasteful number, since it uses less digits than its factorization.

1349122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342245 (or 2342232 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1349122752 is about 36730.4063685661. The cubic root of 1349122752 is about 1104.9700044409.

The spelling of 1349122752 in words is "one billion, three hundred forty-nine million, one hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2342227 4684454 7026681 9368908 14053362 18737816 21080043 28106724 37475632 42160086 56213448 74951264 84320172 112426896 149902528 168640344 224853792 337280688 449707584 674561376 1349122752