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354379662 = 232721331997
BaseRepresentation
bin10101000111110…
…110011110001110
3220200211100111200
4111013312132032
51211210122122
655055330330
711532114600
oct2507663616
9820740450
10354379662
1117204675a
129a8209a6
135855a810
14350cb170
15211a15ac
hex151f678e

354379662 has 144 divisors (see below), whose sum is σ = 993912192. Its totient is φ = 90357120.

The previous prime is 354379661. The next prime is 354379723. The reversal of 354379662 is 266973453.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354379661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354948 + ... + 355944.

It is an arithmetic number, because the mean of its divisors is an integer number (6902168).

Almost surely, 2354379662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354379662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496956096).

354379662 is an abundant number, since it is smaller than the sum of its proper divisors (639532530).

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

354379662 is a wasteful number, since it uses less digits than its factorization.

354379662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 354379662 is about 18824.9744222934. The cubic root of 354379662 is about 707.6572002281.

The spelling of 354379662 in words is "three hundred fifty-four million, three hundred seventy-nine thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 273 279 294 403 434 441 546 558 637 651 806 819 882 997 1209 1274 1302 1519 1638 1911 1953 1994 2418 2821 2991 3038 3627 3822 3906 4557 5642 5733 5982 6979 7254 8463 8973 9114 11466 12961 13671 13958 16926 17946 19747 20937 25389 25922 27342 30907 38883 39494 41874 48853 50778 59241 61814 62811 77766 90727 92721 97706 116649 118482 125622 146559 177723 181454 185442 216349 233298 272181 278163 293118 355446 401791 432698 439677 544362 556326 635089 649047 803582 816543 879354 1205373 1270178 1298094 1514443 1633086 1905267 1947141 2410746 2812537 3028886 3616119 3810534 3894282 4543329 5625074 5715801 7232238 8437611 9086658 11431602 13629987 16875222 19687759 25312833 27259974 39375518 50625666 59063277 118126554 177189831 354379662