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3682984734 = 2331113538999
BaseRepresentation
bin1101101110000101…
…1110001100011110
3100111200012000021000
43123201132030132
530020321002414
61405243051130
7160160565552
oct33341361436
910450160230
103682984734
11161aa48a40
12869510aa6
13469046c10
1426d1d1862
15168504b09
hexdb85e31e

3682984734 has 128 divisors (see below), whose sum is σ = 9797760000. Its totient is φ = 1010655360.

The previous prime is 3682984709. The next prime is 3682984801. The reversal of 3682984734 is 4374892863.

3682984734 is a `hidden beast` number, since 3 + 6 + 82 + 98 + 473 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404767 + ... + 413765.

It is an arithmetic number, because the mean of its divisors is an integer number (76545000).

Almost surely, 23682984734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682984734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880000).

3682984734 is an abundant number, since it is smaller than the sum of its proper divisors (6114775266).

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

3682984734 is a wasteful number, since it uses less digits than its factorization.

3682984734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9087 (or 9081 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3682984734 is about 60687.5995076424. The cubic root of 3682984734 is about 1544.3058131285.

The spelling of 3682984734 in words is "three billion, six hundred eighty-two million, nine hundred eighty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 53 54 66 78 99 106 117 143 159 198 234 286 297 318 351 429 477 583 594 689 702 858 954 1166 1287 1378 1431 1749 2067 2574 2862 3498 3861 4134 5247 6201 7579 7722 8999 10494 12402 15158 15741 17998 18603 22737 26997 31482 37206 45474 53994 68211 80991 98989 116987 136422 161982 197978 204633 233974 242973 296967 350961 409266 476947 485946 593934 701922 890901 953894 1052883 1286857 1430841 1781802 2105766 2573714 2672703 2861682 3158649 3860571 4292523 5246417 5345406 6200311 6317298 7721142 8585046 10492834 11581713 12400622 12877569 15739251 18600933 23163426 25755138 31478502 34745139 37201866 47217753 55802799 68203421 69490278 94435506 111605598 136406842 141653259 167408397 204610263 283306518 334816794 409220526 613830789 1227661578 1841492367 3682984734