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3745041440 = 255729115303
BaseRepresentation
bin1101111100111000…
…1100110000100000
3100122222221211001112
43133032030300200
530132212311230
61415341122452
7161543220110
oct33716146040
910588854045
103745041440
111651a84078
12886259428
13478b6406a
14277547040
1516dbb1d95
hexdf38cc20

3745041440 has 96 divisors (see below), whose sum is σ = 10460378880. Its totient is φ = 1239727104.

The previous prime is 3745041383. The next prime is 3745041457. The reversal of 3745041440 is 441405473.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3745041397 and 3745041406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25172 + ... + 90131.

It is an arithmetic number, because the mean of its divisors is an integer number (108962280).

Almost surely, 23745041440 is an apocalyptic number.

It is an amenable number.

3745041440 is an abundant number, since it is smaller than the sum of its proper divisors (6715337440).

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

3745041440 is a wasteful number, since it uses less digits than its factorization.

3745041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115354 (or 115346 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 3745041440 is about 61196.7437042201. The cubic root of 3745041440 is about 1552.9311776531.

The spelling of 3745041440 in words is "three billion, seven hundred forty-five million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1624 2030 2320 3248 4060 4640 6496 8120 16240 32480 115303 230606 461212 576515 807121 922424 1153030 1614242 1844848 2306060 3228484 3343787 3689696 4035605 4612120 6456968 6687574 8071210 9224240 12913936 13375148 16142420 16718935 18448480 23406509 25827872 26750296 32284840 33437870 46813018 53500592 64569680 66875740 93626036 107001184 117032545 129139360 133751480 187252072 234065090 267502960 374504144 468130180 535005920 749008288 936260360 1872520720 3745041440