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34738002 = 23213532801
BaseRepresentation
bin1000010010000…
…0111101010010
32102100212120200
42010200331102
532343104002
63240320030
7601160655
oct204407522
972325520
1034738002
11186771a2
12b773016
137273740
14488389c
1530b2b1c
hex2120f52

34738002 has 48 divisors (see below), whose sum is σ = 82614168. Its totient is φ = 10483200.

The previous prime is 34737991. The next prime is 34738013. The reversal of 34738002 is 20083743.

It is an interprime number because it is at equal distance from previous prime (34737991) and next prime (34738013).

It can be written as a sum of positive squares in 4 ways, for example, as 27657081 + 7080921 = 5259^2 + 2661^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11002 + ... + 13802.

Almost surely, 234738002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34738002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41307084).

34738002 is an abundant number, since it is smaller than the sum of its proper divisors (47876166).

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

34738002 is a wasteful number, since it uses less digits than its factorization.

34738002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34738002 is about 5893.8953163422. The cubic root of 34738002 is about 326.2883832059.

The spelling of 34738002 in words is "thirty-four million, seven hundred thirty-eight thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 2801 4134 5602 6201 8403 12402 16806 25209 36413 50418 72826 109239 148453 218478 296906 327717 445359 655434 890718 1336077 1929889 2672154 3859778 5789667 11579334 17369001 34738002