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34386378552 = 2334181293179
BaseRepresentation
bin100000000001100101…
…100111111100111000
310021202110001000120000
4200001211213330320
51030410403103202
623444043233000
72325061252341
oct400145477470
9107673030500
1034386378552
111364623a179
1267b7b18760
133320069076
141942c190c8
15d63c7191c
hex801967f38

34386378552 has 80 divisors (see below), whose sum is σ = 96846149400. Its totient is φ = 11398760640.

The previous prime is 34386378547. The next prime is 34386378557. The reversal of 34386378552 is 25587368343.

It is a happy number.

34386378552 is a `hidden beast` number, since 3 + 4 + 3 + 86 + 3 + 7 + 8 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (34386378547) and next prime (34386378557).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34386378557) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29302 + ... + 263877.

Almost surely, 234386378552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34386378552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48423074700).

34386378552 is an abundant number, since it is smaller than the sum of its proper divisors (62459770848).

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

34386378552 is a wasteful number, since it uses less digits than its factorization.

34386378552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293378 (or 293365 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 34386378552 in words is "thirty-four billion, three hundred eighty-six million, three hundred seventy-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 181 216 324 362 543 648 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 13032 14661 19548 29322 39096 58644 117288 293179 586358 879537 1172716 1759074 2345432 2638611 3518148 5277222 7036296 7915833 10554444 15831666 21108888 23747499 31663332 47494998 53065399 63326664 94989996 106130798 159196197 189979992 212261596 318392394 424523192 477588591 636784788 955177182 1273569576 1432765773 1910354364 2865531546 3820708728 4298297319 5731063092 8596594638 11462126184 17193189276 34386378552