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34076601440 = 255730425537
BaseRepresentation
bin11111101111000111…
…111010110001100000
310020221212010201020122
4133233013322301200
51024242102221230
623353215455412
72314310222150
oct375707726140
9106855121218
1034076601440
11134a7398032
126730227568
1332a0b26cbb
141913a1c760
15d46980be5
hex7ef1fac60

34076601440 has 48 divisors (see below), whose sum is σ = 92006826912. Its totient is φ = 11683405824.

The previous prime is 34076601413. The next prime is 34076601463. The reversal of 34076601440 is 4410667043.

It is a super-2 number, since 2×340766014402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 34076601440.

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, 15211649 + ... + 15213888.

It is an arithmetic number, because the mean of its divisors is an integer number (1916808894).

Almost surely, 234076601440 is an apocalyptic number.

It is an amenable number.

34076601440 is an abundant number, since it is smaller than the sum of its proper divisors (57930225472).

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

34076601440 is a wasteful number, since it uses less digits than its factorization.

34076601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30425559 (or 30425551 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 34076601440 in words is "thirty-four billion, seventy-six million, six hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 30425537 60851074 121702148 152127685 212978759 243404296 304255370 425957518 486808592 608510740 851915036 973617184 1064893795 1217021480 1703830072 2129787590 2434042960 3407660144 4259575180 4868085920 6815320288 8519150360 17038300720 34076601440