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3740704040 = 2351910614639
BaseRepresentation
bin1101111011110110…
…1001110100101000
3100122200210110021002
43132331221310220
530130110012130
61415104134132
7161461313453
oct33675516450
910580713232
103740704040
11164a591347
12884907348
13477ca5a58
14276b3849a
1516d606b45
hexdef69d28

3740704040 has 64 divisors (see below), whose sum is σ = 8869824000. Its totient is φ = 1415888640.

The previous prime is 3740704027. The next prime is 3740704043. The reversal of 3740704040 is 404070473.

It is a junction number, because it is equal to n+sod(n) for n = 3740703994 and 3740704012.

It is not an unprimeable number, because it can be changed into a prime (3740704043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804041 + ... + 808679.

It is an arithmetic number, because the mean of its divisors is an integer number (138591000).

Almost surely, 23740704040 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 3740704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434912000).

3740704040 is an abundant number, since it is smaller than the sum of its proper divisors (5129119960).

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

3740704040 is a wasteful number, since it uses less digits than its factorization.

3740704040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 29.

The square root of 3740704040 is about 61161.2952773239. The cubic root of 3740704040 is about 1552.3314258808.

The spelling of 3740704040 in words is "three billion, seven hundred forty million, seven hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1061 2122 4244 4639 5305 8488 9278 10610 18556 20159 21220 23195 37112 40318 42440 46390 80636 88141 92780 100795 161272 176282 185560 201590 352564 403180 440705 705128 806360 881410 1762820 3525640 4921979 9843958 19687916 24609895 39375832 49219790 93517601 98439580 187035202 196879160 374070404 467588005 748140808 935176010 1870352020 3740704040