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3490749264 = 243176436653
BaseRepresentation
bin1101000000010000…
…1001101101010000
3100000021110102202210
43100010021231100
524122112434024
61334214512120
7152334610362
oct32004115520
910007412683
103490749264
111531489652
12815065640
1343827ab12
14251870d32
151566d1129
hexd0109b50

3490749264 has 80 divisors (see below), whose sum is σ = 9564512832. Its totient is φ = 1093269504.

The previous prime is 3490749263. The next prime is 3490749277. The reversal of 3490749264 is 4629470943.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3490749263) by changing a digit.

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, 521362 + ... + 528014.

Almost surely, 23490749264 is an apocalyptic number.

3490749264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490749264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782256416).

3490749264 is an abundant number, since it is smaller than the sum of its proper divisors (6073763568).

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

3490749264 is a wasteful number, since it uses less digits than its factorization.

3490749264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 3490749264 is about 59082.5631129862. The cubic root of 3490749264 is about 1516.9556541356.

The spelling of 3490749264 in words is "three billion, four hundred ninety million, seven hundred forty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 643 816 1286 1929 2572 3858 5144 6653 7716 10288 10931 13306 15432 19959 21862 26612 30864 32793 39918 43724 53224 65586 79836 87448 106448 113101 131172 159672 174896 226202 262344 319344 339303 452404 524688 678606 904808 1357212 1809616 2714424 4277879 5428848 8555758 12833637 17111516 25667274 34223032 51334548 68446064 72723943 102669096 145447886 205338192 218171829 290895772 436343658 581791544 872687316 1163583088 1745374632 3490749264