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3742740 = 2233529239
BaseRepresentation
bin1110010001110000010100
321001011002000
432101300110
51424231430
6212115300
743545531
oct16216024
97034060
103742740
112126a81
121305b30
13a10751
146d5d88
154dde60
hex391c14

3742740 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 959616.

The previous prime is 3742729. The next prime is 3742741. The reversal of 3742740 is 472473.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15541 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 23742740 is an apocalyptic number.

3742740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3742740 is an abundant number, since it is smaller than the sum of its proper divisors (8353260).

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

3742740 is a wasteful number, since it uses less digits than its factorization.

3742740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3742740 is about 1934.6162410153. The cubic root of 3742740 is about 155.2613004913.

The spelling of 3742740 in words is "three million, seven hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 239 261 270 290 348 435 478 522 540 580 717 783 870 956 1044 1195 1305 1434 1566 1740 2151 2390 2610 2868 3132 3585 3915 4302 4780 5220 6453 6931 7170 7830 8604 10755 12906 13862 14340 15660 20793 21510 25812 27724 32265 34655 41586 43020 62379 64530 69310 83172 103965 124758 129060 138620 187137 207930 249516 311895 374274 415860 623790 748548 935685 1247580 1871370 3742740