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3742830 = 2325713457
BaseRepresentation
bin1110010001110001101110
321001011012100
432101301232
51424232310
6212115530
743546020
oct16216156
97034170
103742830
112127053
121305ba6
13a107c0
146d6010
154ddec0
hex391c6e

3742830 has 96 divisors (see below), whose sum is σ = 12003264. Its totient is φ = 787968.

The previous prime is 3742793. The next prime is 3742841. The reversal of 3742830 is 382473.

It is a junction number, because it is equal to n+sod(n) for n = 3742794 and 3742803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7962 + ... + 8418.

It is an arithmetic number, because the mean of its divisors is an integer number (125034).

Almost surely, 23742830 is an apocalyptic number.

3742830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001632).

3742830 is an abundant number, since it is smaller than the sum of its proper divisors (8260434).

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

3742830 is a wasteful number, since it uses less digits than its factorization.

3742830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3742830 is about 1934.6395013025. The cubic root of 3742830 is about 155.2625449811.

The spelling of 3742830 in words is "three million, seven hundred forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 457 546 585 630 819 910 914 1170 1365 1371 1638 2285 2730 2742 3199 4095 4113 4570 5941 6398 6855 8190 8226 9597 11882 13710 15995 17823 19194 20565 28791 29705 31990 35646 41130 41587 47985 53469 57582 59410 83174 89115 95970 106938 124761 143955 178230 207935 249522 267345 287910 374283 415870 534690 623805 748566 1247610 1871415 3742830