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34281972 = 2232952277
BaseRepresentation
bin1000001011000…
…1100111110100
32101111201000200
42002301213310
532234010342
63222440500
7564251304
oct202614764
971451020
1034281972
111839560a
12b593130
137143cba
1447a5604
15302294c
hex20b19f4

34281972 has 18 divisors (see below), whose sum is σ = 86657298. Its totient is φ = 11427312.

The previous prime is 34281967. The next prime is 34281991. The reversal of 34281972 is 27918243.

It can be written as a sum of positive squares in only one way, i.e., 28259856 + 6022116 = 5316^2 + 2454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 952277 = 34281972 / (3 + 4 + 2 + 8 + 1 + 9 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476103 + ... + 476174.

Almost surely, 234281972 is an apocalyptic number.

It is an amenable number.

34281972 is an abundant number, since it is smaller than the sum of its proper divisors (52375326).

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

34281972 is a wasteful number, since it uses less digits than its factorization.

34281972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952287 (or 952282 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34281972 is about 5855.0808704919. The cubic root of 34281972 is about 324.8542841841.

It can be divided in two parts, 34281 and 972, that added together give a palindrome (35253).

The spelling of 34281972 in words is "thirty-four million, two hundred eighty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 952277 1904554 2856831 3809108 5713662 8570493 11427324 17140986 34281972