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3432149028 = 22327112112559
BaseRepresentation
bin1100110010010010…
…0111000000100100
322212012012020100200
43030210213000210
524012112232103
61324322510500
7151023533250
oct31444470044
98765166320
103432149028
1115013a4400
127b9505430
134290a1019
14247b79260
151514a80a3
hexcc927024

3432149028 has 108 divisors (see below), whose sum is σ = 10898509440. Its totient is φ = 891459360.

The previous prime is 3432149011. The next prime is 3432149029. The reversal of 3432149028 is 8209412343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3432148983 and 3432149001.

It is not an unprimeable number, because it can be changed into a prime (3432149029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25788 + ... + 86771.

Almost surely, 23432149028 is an apocalyptic number.

It is an amenable number.

3432149028 is an abundant number, since it is smaller than the sum of its proper divisors (7466360412).

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

3432149028 is a wasteful number, since it uses less digits than its factorization.

3432149028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112598 (or 112582 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3432149028 is about 58584.5459827078. The cubic root of 3432149028 is about 1508.4191792035.

The spelling of 3432149028 in words is "three billion, four hundred thirty-two million, one hundred forty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 15246 30492 112559 225118 337677 450236 675354 787913 1013031 1238149 1350708 1575826 2026062 2363739 2476298 3151652 3714447 4052124 4727478 4952596 7091217 7428894 8667043 9454956 11143341 13619639 14182434 14857788 17334086 22286682 26001129 27239278 28364868 34668172 40858917 44573364 52002258 54478556 78003387 81717834 95337473 104004516 122576751 156006774 163435668 190674946 245153502 286012419 312013548 381349892 490307004 572024838 858037257 1144049676 1716074514 3432149028