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152282340 = 223257196361
BaseRepresentation
bin10010001001110…
…10010011100100
3101121112202002200
421010322103210
5302441013330
623035534500
73526243560
oct1104722344
9347482080
10152282340
1178a60a81
1242bba430
132571a9c2
14163206a0
15d580a60
hex913a4e4

152282340 has 144 divisors (see below), whose sum is σ = 555784320. Its totient is φ = 32970240.

The previous prime is 152282329. The next prime is 152282353. The reversal of 152282340 is 43282251.

152282340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1522823402 = 46379822151751200, which contains 22 as substring.

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, 20760 + ... + 27120.

Almost surely, 2152282340 is an apocalyptic number.

152282340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152282340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277892160).

152282340 is an abundant number, since it is smaller than the sum of its proper divisors (403501980).

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

152282340 is a wasteful number, since it uses less digits than its factorization.

152282340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 152282340 is about 12340.2730926021. The cubic root of 152282340 is about 534.0105624305.

The spelling of 152282340 in words is "one hundred fifty-two million, two hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 6361 7980 11970 12722 19083 23940 25444 31805 38166 44527 57249 63610 76332 89054 95415 114498 120859 127220 133581 178108 190830 222635 228996 241718 267162 286245 362577 381660 400743 445270 483436 534324 572490 604295 667905 725154 801486 846013 890540 1087731 1144980 1208590 1335810 1450308 1602972 1692026 1812885 2003715 2175462 2417180 2538039 2671620 3384052 3625770 4007430 4230065 4350924 5076078 5438655 7251540 7614117 8014860 8460130 10152156 10877310 12690195 15228234 16920260 21754620 25380390 30456468 38070585 50760780 76141170 152282340