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472910340 = 223574092753
BaseRepresentation
bin11100001100000…
…000101000000100
31012221212100000210
4130030000220010
51432031112330
6114532035420
714501446230
oct3414005004
91187770023
10472910340
11222a445a1
12112462b70
1376c8ba06
1446b435c0
152b7b68b0
hex1c300a04

472910340 has 96 divisors (see below), whose sum is σ = 1517564160. Its totient is φ = 107790336.

The previous prime is 472910327. The next prime is 472910371. The reversal of 472910340 is 43019274.

It is a happy number.

472910340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 472910298 and 472910307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170404 + ... + 173156.

It is an arithmetic number, because the mean of its divisors is an integer number (15807960).

Almost surely, 2472910340 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 472910340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758782080).

472910340 is an abundant number, since it is smaller than the sum of its proper divisors (1044653820).

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

472910340 is a wasteful number, since it uses less digits than its factorization.

472910340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 472910340 is about 21746.5017876439. The cubic root of 472910340 is about 779.0995196726.

The spelling of 472910340 in words is "four hundred seventy-two million, nine hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 409 420 818 1227 1636 2045 2454 2753 2863 4090 4908 5506 5726 6135 8180 8259 8589 11012 11452 12270 13765 14315 16518 17178 19271 24540 27530 28630 33036 34356 38542 41295 42945 55060 57260 57813 77084 82590 85890 96355 115626 165180 171780 192710 231252 289065 385420 578130 1125977 1156260 2251954 3377931 4503908 5629885 6755862 7881839 11259770 13511724 15763678 16889655 22519540 23645517 31527356 33779310 39409195 47291034 67558620 78818390 94582068 118227585 157636780 236455170 472910340