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7034106640 = 2451133723719
BaseRepresentation
bin1101000110100001…
…11111001100010000
3200011012220122022011
412203100333030100
5103401212403030
63121553152304
7336211630351
oct64320771420
920135818264
107034106640
112a8a62a480
12144385b694
138813b81a2
144aa2b7d28
152b2804b2a
hex1a343f310

7034106640 has 80 divisors (see below), whose sum is σ = 17894747520. Its totient is φ = 2550159360.

The previous prime is 7034106619. The next prime is 7034106683. The reversal of 7034106640 is 466014307.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284701 + ... + 308419.

It is an arithmetic number, because the mean of its divisors is an integer number (223684344).

Almost surely, 27034106640 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 7034106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947373760).

7034106640 is an abundant number, since it is smaller than the sum of its proper divisors (10860640880).

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

7034106640 is a wasteful number, since it uses less digits than its factorization.

7034106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24080 (or 24074 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 7034106640 is about 83869.5811364287. The cubic root of 7034106640 is about 1916.0329912105.

The spelling of 7034106640 in words is "seven billion, thirty-four million, one hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 337 440 674 880 1348 1685 2696 3370 3707 5392 6740 7414 13480 14828 18535 23719 26960 29656 37070 47438 59312 74140 94876 118595 148280 189752 237190 260909 296560 379504 474380 521818 948760 1043636 1304545 1897520 2087272 2609090 4174544 5218180 7993303 10436360 15986606 20872720 31973212 39966515 63946424 79933030 87926333 127892848 159866060 175852666 319732120 351705332 439631665 639464240 703410664 879263330 1406821328 1758526660 3517053320 7034106640