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30146440 = 23517431031
BaseRepresentation
bin111001011111…
…1111110001000
32002201121010211
41302333332020
530204141230
62554050504
7514145332
oct162777610
962647124
1030146440
1116020515
12a119a34
13632683c
14400a452
1529a742a
hex1cbff88

30146440 has 64 divisors (see below), whose sum is σ = 73560960. Its totient is φ = 11074560.

The previous prime is 30146437. The next prime is 30146443. The reversal of 30146440 is 4464103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30146437) and next prime (30146443).

It is not an unprimeable number, because it can be changed into a prime (30146443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28725 + ... + 29755.

It is an arithmetic number, because the mean of its divisors is an integer number (1149390).

Almost surely, 230146440 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 30146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36780480).

30146440 is an abundant number, since it is smaller than the sum of its proper divisors (43414520).

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

30146440 is a wasteful number, since it uses less digits than its factorization.

30146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 30146440 is about 5490.5773831174. The cubic root of 30146440 is about 311.2280114357.

The spelling of 30146440 in words is "thirty million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1031 1462 1720 2062 2924 3655 4124 5155 5848 7310 8248 10310 14620 17527 20620 29240 35054 41240 44333 70108 87635 88666 140216 175270 177332 221665 350540 354664 443330 701080 753661 886660 1507322 1773320 3014644 3768305 6029288 7536610 15073220 30146440