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34140800440 = 2355411577671
BaseRepresentation
bin11111110010111100…
…110100010110111000
310021010022221100201101
4133302330310112320
51024410021103230
623403431501144
72316020005225
oct376274642670
9107108840641
1034140800440
111352a65675a
1267498277b4
1332b1214286
14191c37094c
15d4c412aca
hex7f2f345b8

34140800440 has 32 divisors (see below), whose sum is σ = 76958840160. Its totient is φ = 13631068800.

The previous prime is 34140800437. The next prime is 34140800453. The reversal of 34140800440 is 4400804143.

It is a junction number, because it is equal to n+sod(n) for n = 34140800399 and 34140800408.

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, 767196 + ... + 810475.

It is an arithmetic number, because the mean of its divisors is an integer number (2404963755).

Almost surely, 234140800440 is an apocalyptic number.

It is an amenable number.

34140800440 is an abundant number, since it is smaller than the sum of its proper divisors (42818039720).

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

34140800440 is a wasteful number, since it uses less digits than its factorization.

34140800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578223 (or 1578219 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 34140800440 in words is "thirty-four billion, one hundred forty million, eight hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 541 1082 2164 2705 4328 5410 10820 21640 1577671 3155342 6310684 7888355 12621368 15776710 31553420 63106840 853520011 1707040022 3414080044 4267600055 6828160088 8535200110 17070400220 34140800440