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3674363440 = 2451123710259
BaseRepresentation
bin1101101100000010…
…0101011000110000
3100111001222000001211
43123000211120300
530011114112230
61404334205504
7160024400566
oct33300453060
910431860054
103674363440
11161609a700
12866653894
13467318a67
1426bdc9a36
151678a042a
hexdb025630

3674363440 has 120 divisors (see below), whose sum is σ = 9644851440. Its totient is φ = 1299893760.

The previous prime is 3674363389. The next prime is 3674363447. The reversal of 3674363440 is 443634763.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3674363393 and 3674363402.

It is not an unprimeable number, because it can be changed into a prime (3674363447) 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, 353031 + ... + 363289.

It is an arithmetic number, because the mean of its divisors is an integer number (80373762).

Almost surely, 23674363440 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 3674363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822425720).

3674363440 is an abundant number, since it is smaller than the sum of its proper divisors (5970488000).

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

3674363440 is a wasteful number, since it uses less digits than its factorization.

3674363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The square root of 3674363440 is about 60616.5277791462. The cubic root of 3674363440 is about 1543.0998784917.

The spelling of 3674363440 in words is "three billion, six hundred seventy-four million, three hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 121 148 176 185 220 242 296 370 407 440 484 592 605 740 814 880 968 1210 1480 1628 1936 2035 2420 2960 3256 4070 4477 4840 6512 8140 8954 9680 10259 16280 17908 20518 22385 32560 35816 41036 44770 51295 71632 82072 89540 102590 112849 164144 179080 205180 225698 358160 379583 410360 451396 564245 759166 820720 902792 1128490 1241339 1518332 1805584 1897915 2256980 2482678 3036664 3795830 4175413 4513960 4965356 6073328 6206695 7591660 8350826 9027920 9930712 12413390 15183320 16701652 19861424 20877065 24826780 30366640 33403304 41754130 45929543 49653560 66806608 83508260 91859086 99307120 167016520 183718172 229647715 334033040 367436344 459295430 734872688 918590860 1837181720 3674363440