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345713148 = 22321141107199
BaseRepresentation
bin10100100110110…
…010100111111100
3220002112001021200
4110212302213330
51202000310043
654145455500
711365341024
oct2446624774
9802461250
10345713148
11168167450
1297941590
1356814bc1
1433cb2a84
152053d7d3
hex149b29fc

345713148 has 144 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 100742400.

The previous prime is 345713143. The next prime is 345713149. The reversal of 345713148 is 841317543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345713143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1737153 + ... + 1737351.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2345713148 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 345713148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

345713148 is an abundant number, since it is smaller than the sum of its proper divisors (644949252).

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

345713148 is a wasteful number, since it uses less digits than its factorization.

345713148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 345713148 is about 18593.3630094182. The cubic root of 345713148 is about 701.8408337127.

The spelling of 345713148 in words is "three hundred forty-five million, seven hundred thirteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 107 123 132 164 198 199 214 246 321 369 396 398 428 451 492 597 642 738 796 902 963 1177 1194 1284 1353 1476 1791 1804 1926 2189 2354 2388 2706 3531 3582 3852 4059 4378 4387 4708 5412 6567 7062 7164 8118 8159 8756 8774 10593 13134 13161 14124 16236 16318 17548 19701 21186 21293 24477 26268 26322 32636 39402 39483 42372 42586 48257 48954 52644 63879 73431 78804 78966 85172 89749 96514 97908 127758 144771 146862 157932 179498 191637 193028 234223 255516 269247 289542 293724 358996 383274 434313 468446 538494 579084 702669 766548 807741 868626 873013 936892 1076988 1405338 1615482 1737252 1746026 2108007 2619039 2810676 3230964 3492052 4216014 5238078 7857117 8432028 9603143 10476156 15714234 19206286 28809429 31428468 38412572 57618858 86428287 115237716 172856574 345713148