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368785340 = 2257111012371
BaseRepresentation
bin10101111110110…
…011011110111100
3221200221020101022
4111332303132330
51223402112330
6100332203312
712065423630
oct2576633674
9850836338
10368785340
1117a195980
12a3609538
135b5327a1
1436d9adc0
1522599ae5
hex15fb37bc

368785340 has 96 divisors (see below), whose sum is σ = 975518208. Its totient is φ = 113760000.

The previous prime is 368785303. The next prime is 368785349. The reversal of 368785340 is 43587863.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 368785291 and 368785300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368785349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154355 + ... + 156725.

It is an arithmetic number, because the mean of its divisors is an integer number (10161648).

Almost surely, 2368785340 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 368785340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487759104).

368785340 is an abundant number, since it is smaller than the sum of its proper divisors (606732868).

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

368785340 is a wasteful number, since it uses less digits than its factorization.

368785340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 368785340 is about 19203.7845228486. The cubic root of 368785340 is about 717.1189784577.

The spelling of 368785340 in words is "three hundred sixty-eight million, seven hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2371 2828 3535 4444 4742 5555 7070 7777 9484 11110 11855 14140 15554 16597 22220 23710 26081 31108 33194 38885 47420 52162 66388 77770 82985 104324 130405 155540 165970 182567 239471 260810 331940 365134 478942 521620 730268 912835 957884 1197355 1676297 1825670 2394710 2634181 3352594 3651340 4789420 5268362 6705188 8381485 10536724 13170905 16762970 18439267 26341810 33525940 36878534 52683620 73757068 92196335 184392670 368785340