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3401973630 = 2325115958243
BaseRepresentation
bin1100101011000101…
…1111111101111110
322210002102011111100
43022301133331332
523431401124010
61321324033530
7150206204316
oct31261377576
98702364440
103401973630
111496364160
127ab3928a6
13422a67263
14243b62446
1514d9e72c0
hexcac5ff7e

3401973630 has 96 divisors (see below), whose sum is σ = 9812949120. Its totient is φ = 810728640.

The previous prime is 3401973623. The next prime is 3401973671. The reversal of 3401973630 is 363791043.

3401973630 is a `hidden beast` number, since 3 + 4 + 0 + 19 + 7 + 3 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29289 + ... + 87531.

It is an arithmetic number, because the mean of its divisors is an integer number (102218220).

Almost surely, 23401973630 is an apocalyptic number.

3401973630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401973630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906474560).

3401973630 is an abundant number, since it is smaller than the sum of its proper divisors (6410975490).

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

3401973630 is a wasteful number, since it uses less digits than its factorization.

3401973630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58326 (or 58323 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3401973630 is about 58326.4402308250. The cubic root of 3401973630 is about 1503.9854945103.

The spelling of 3401973630 in words is "three billion, four hundred one million, nine hundred seventy-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 165 177 198 295 330 354 495 531 590 649 885 990 1062 1298 1770 1947 2655 3245 3894 5310 5841 6490 9735 11682 19470 29205 58243 58410 116486 174729 291215 349458 524187 582430 640673 873645 1048374 1281346 1747290 1922019 2620935 3203365 3436337 3844038 5241870 5766057 6406730 6872674 9610095 10309011 11532114 17181685 19220190 20618022 28830285 30927033 34363370 37799707 51545055 57660570 61854066 75599414 103090110 113399121 154635165 188998535 226798242 309270330 340197363 377997070 566995605 680394726 1133991210 1700986815 3401973630