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3973742320 = 24574366853
BaseRepresentation
bin1110110011011010…
…0111111011110000
3101020221022000200111
43230312213323300
531114234223240
61454151031104
7200321152402
oct35466477360
911227260614
103973742320
11175a08a469
1292a96b494
134b4359c22
14299a7ab72
15183cda1ea
hexecda7ef0

3973742320 has 40 divisors (see below), whose sum is σ = 9251523936. Its totient is φ = 1587333888.

The previous prime is 3973742303. The next prime is 3973742321. The reversal of 3973742320 is 232473793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973742321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26014 + ... + 92866.

Almost surely, 23973742320 is an apocalyptic number.

It is an amenable number.

3973742320 is an abundant number, since it is smaller than the sum of its proper divisors (5277781616).

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

3973742320 is a wasteful number, since it uses less digits than its factorization.

3973742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67609 (or 67603 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 40.

The square root of 3973742320 is about 63037.6262243432. The cubic root of 3973742320 is about 1583.9199679831.

The spelling of 3973742320 in words is "three billion, nine hundred seventy-three million, seven hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 743 1486 2972 3715 5944 7430 11888 14860 29720 59440 66853 133706 267412 334265 534824 668530 1069648 1337060 2674120 5348240 49671779 99343558 198687116 248358895 397374232 496717790 794748464 993435580 1986871160 3973742320