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3400372368 = 2432173474003
BaseRepresentation
bin1100101010101101…
…1001000010010000
322202222101210222100
43022223121002100
523430443403433
61321225440400
7150156455031
oct31253310220
98688353870
103400372368
1114954700a8
127aa940100
13422626473
14243866a88
1514d7ccb13
hexcaad9090

3400372368 has 120 divisors (see below), whose sum is σ = 10107665568. Its totient is φ = 1063443456.

The previous prime is 3400372343. The next prime is 3400372369. The reversal of 3400372368 is 8632730043.

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

It is not an unprimeable number, because it can be changed into a prime (3400372369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847455 + ... + 851457.

Almost surely, 23400372368 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 3400372368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053832784).

3400372368 is an abundant number, since it is smaller than the sum of its proper divisors (6707293200).

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

3400372368 is a wasteful number, since it uses less digits than its factorization.

3400372368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3400372368 is about 58312.7118902903. The cubic root of 3400372368 is about 1503.7494890785.

The spelling of 3400372368 in words is "three billion, four hundred million, three hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 347 408 612 694 816 1041 1224 1388 2082 2448 2776 3123 4003 4164 5552 5899 6246 8006 8328 11798 12009 12492 16012 16656 17697 23596 24018 24984 32024 35394 36027 47192 48036 49968 53091 64048 68051 70788 72054 94384 96072 106182 136102 141576 144108 192144 204153 212364 272204 283152 288216 408306 424728 544408 576432 612459 816612 849456 1088816 1224918 1389041 1633224 2449836 2778082 3266448 4167123 4899672 5556164 8334246 9799344 11112328 12501369 16668492 22224656 23613697 25002738 33336984 47227394 50005476 66673968 70841091 94454788 100010952 141682182 188909576 200021904 212523273 283364364 377819152 425046546 566728728 850093092 1133457456 1700186184 3400372368