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3137433088 = 2959283367
BaseRepresentation
bin1011101100000001…
…0110111000000000
322002122122010002111
42323000112320000
522411140324323
61235154025104
7140514512146
oct27300267000
98078563074
103137433088
11136aaa9a09
12736878194
133b00033aa
1421a97d596
1513568ec0d
hexbb016e00

3137433088 has 80 divisors (see below), whose sum is σ = 6414946560. Its totient is φ = 1532491776.

The previous prime is 3137433067. The next prime is 3137433109. The reversal of 3137433088 is 8803347313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3137433067) and next prime (3137433109).

It is a self number, because there is not a number n which added to its sum of digits gives 3137433088.

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, 8548681 + ... + 8549047.

It is an arithmetic number, because the mean of its divisors is an integer number (80186832).

Almost surely, 23137433088 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 3137433088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207473280).

3137433088 is an abundant number, since it is smaller than the sum of its proper divisors (3277513472).

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

3137433088 is an equidigital number, since it uses as much as digits as its factorization.

3137433088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3137433088 is about 56012.7939670929. The cubic root of 3137433088 is about 1463.9452137918.

The spelling of 3137433088 in words is "three billion, one hundred thirty-seven million, four hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 283 367 472 512 566 734 944 1132 1468 1888 2264 2936 3776 4528 5872 7552 9056 11744 15104 16697 18112 21653 23488 30208 33394 36224 43306 46976 66788 72448 86612 93952 103861 133576 144896 173224 187904 207722 267152 346448 415444 534304 692896 830888 1068608 1385792 1661776 2137216 2771584 3323552 4274432 5543168 6127799 6647104 8548864 11086336 12255598 13294208 24511196 26588416 49022392 53176832 98044784 196089568 392179136 784358272 1568716544 3137433088