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3422121408 = 263228121143
BaseRepresentation
bin1100101111111001…
…0110110111000000
322211111022210001100
43023332112313000
524002030341113
61323323534400
7150542360226
oct31376266700
98744283040
103422121408
1114a6775512
127b608a400
13426c9ca14
142466c8b16
15150676d73
hexcbf96dc0

3422121408 has 84 divisors (see below), whose sum is σ = 9844265808. Its totient is φ = 1136593920.

The previous prime is 3422121377. The next prime is 3422121421. The reversal of 3422121408 is 8041212243.

3422121408 is a `hidden beast` number, since 3 + 42 + 212 + 1 + 408 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151285 + ... + 172427.

Almost surely, 23422121408 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 3422121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922132904).

3422121408 is an abundant number, since it is smaller than the sum of its proper divisors (6422144400).

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

3422121408 is a wasteful number, since it uses less digits than its factorization.

3422121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3422121408 is about 58498.9009127522. The cubic root of 3422121408 is about 1506.9487099144.

The spelling of 3422121408 in words is "three billion, four hundred twenty-two million, one hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 281 288 562 576 843 1124 1686 2248 2529 3372 4496 5058 6744 8992 10116 13488 17984 20232 21143 26976 40464 42286 53952 63429 80928 84572 126858 161856 169144 190287 253716 338288 380574 507432 676576 761148 1014864 1353152 1522296 2029728 3044592 4059456 5941183 6089184 11882366 12178368 17823549 23764732 35647098 47529464 53470647 71294196 95058928 106941294 142588392 190117856 213882588 285176784 380235712 427765176 570353568 855530352 1140707136 1711060704 3422121408