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34471872 = 263319949
BaseRepresentation
bin1000001101111…
…1111111000000
32101212100112000
42003133333000
532311044442
63230504000
7566002041
oct203377700
971770460
1034471872
1118505256
12b665000
1371ac576
1448148c8
15305dd4c
hex20dffc0

34471872 has 56 divisors (see below), whose sum is σ = 101346000. Its totient is φ = 11490048.

The previous prime is 34471859. The next prime is 34471883. The reversal of 34471872 is 27817443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8247 + ... + 11702.

It is an arithmetic number, because the mean of its divisors is an integer number (1809750).

Almost surely, 234471872 is an apocalyptic number.

34471872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34471872 is an abundant number, since it is smaller than the sum of its proper divisors (66874128).

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

34471872 is a wasteful number, since it uses less digits than its factorization.

34471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19970 (or 19954 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 34471872 is about 5871.2751596225. The cubic root of 34471872 is about 325.4530077205.

It can be divided in two parts, 34 and 471872, that added together give a triangular number (471906 = T971).

The spelling of 34471872 in words is "thirty-four million, four hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 19949 39898 59847 79796 119694 159592 179541 239388 319184 359082 478776 538623 638368 718164 957552 1077246 1276736 1436328 1915104 2154492 2872656 3830208 4308984 5745312 8617968 11490624 17235936 34471872