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34329672 = 23321336677
BaseRepresentation
bin1000001011110…
…1010001001000
32101121010110100
42002331101020
532242022142
63223445400
7564540336
oct202752110
971533410
1034329672
1118418433
12b5b6860
13715c920
1447b8b56
153031b4c
hex20bd448

34329672 has 48 divisors (see below), whose sum is σ = 100130940. Its totient is φ = 10562688.

The previous prime is 34329671. The next prime is 34329677. The reversal of 34329672 is 27692343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33802596 + 527076 = 5814^2 + 726^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34329671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17403 + ... + 19274.

Almost surely, 234329672 is an apocalyptic number.

It is an amenable number.

34329672 is an abundant number, since it is smaller than the sum of its proper divisors (65801268).

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

34329672 is a wasteful number, since it uses less digits than its factorization.

34329672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36702 (or 36695 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34329672 is about 5859.1528397884. The cubic root of 34329672 is about 325.0048819779.

The spelling of 34329672 in words is "thirty-four million, three hundred twenty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 36677 73354 110031 146708 220062 293416 330093 440124 476801 660186 880248 953602 1320372 1430403 1907204 2640744 2860806 3814408 4291209 5721612 8582418 11443224 17164836 34329672