Search a number
-
+
374295229350 = 235272143335537
BaseRepresentation
bin1010111001001011011…
…10111111001110100110
31022210010021111201121020
411130211232333032212
522113024034314400
6443540541432010
736020245645500
oct5344556771646
91283107451536
10374295229350
11134812998799
126065a86b606
13293b00b5193
141418a39cd70
159b09e102a0
hex5725bbf3a6

374295229350 has 144 divisors (see below), whose sum is σ = 1080587476368. Its totient is φ = 85491087360.

The previous prime is 374295229339. The next prime is 374295229369. The reversal of 374295229350 is 53922592473.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 374295229293 and 374295229302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10514782 + ... + 10550318.

It is an arithmetic number, because the mean of its divisors is an integer number (7504079697).

Almost surely, 2374295229350 is an apocalyptic number.

374295229350 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 374295229350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540293738184).

374295229350 is an abundant number, since it is smaller than the sum of its proper divisors (706292247018).

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

374295229350 is a wasteful number, since it uses less digits than its factorization.

374295229350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36999 (or 36987 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 374295229350 in words is "three hundred seventy-four billion, two hundred ninety-five million, two hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1433 1470 2450 2866 3675 4299 7165 7350 8598 10031 14330 20062 21495 30093 35537 35825 42990 50155 60186 70217 71074 71650 100310 106611 107475 140434 150465 177685 210651 213222 214950 248759 250775 300930 351085 355370 421302 497518 501550 533055 702170 746277 752325 888425 1053255 1066110 1243795 1492554 1504650 1741313 1755425 1776850 2106510 2487590 2665275 3482626 3510850 3731385 5223939 5266275 5330550 6218975 7462770 8706565 10447878 10532550 12437950 17413130 18656925 26119695 37313850 43532825 50924521 52239390 87065650 101849042 130598475 152773563 254622605 261196950 305547126 356471647 509245210 712943294 763867815 1069414941 1273113025 1527735630 1782358235 2138829882 2495301529 2546226050 3564716470 3819339075 4990603058 5347074705 7485904587 7638678150 8911791175 10694149410 12476507645 14971809174 17823582350 24953015290 26735373525 37429522935 53470747050 62382538225 74859045870 124765076450 187147614675 374295229350