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3352654340 = 2257233133587
BaseRepresentation
bin1100011111010101…
…0111001000000100
322122122121111010222
43013311113020010
523331234414330
61312403003512
7146040043310
oct30765271004
98578544128
103352654340
111470538912
12796969598
13415789949
1423b3a4b40
151495040e5
hexc7d57204

3352654340 has 96 divisors (see below), whose sum is σ = 8667316224. Its totient is φ = 1064004480.

The previous prime is 3352654321. The next prime is 3352654343. The reversal of 3352654340 is 434562533.

It is a super-2 number, since 2×33526543402 = 22480582247041671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3352654340.

It is not an unprimeable number, because it can be changed into a prime (3352654343) 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, 83027 + ... + 116613.

It is an arithmetic number, because the mean of its divisors is an integer number (90284544).

Almost surely, 23352654340 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 3352654340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333658112).

3352654340 is an abundant number, since it is smaller than the sum of its proper divisors (5314661884).

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

3352654340 is a wasteful number, since it uses less digits than its factorization.

3352654340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33657 (or 33655 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The square root of 3352654340 is about 57902.1099788255. The cubic root of 3352654340 is about 1496.6821987256.

The spelling of 3352654340 in words is "three billion, three hundred fifty-two million, six hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 322 434 460 620 644 713 805 868 1085 1426 1610 2170 2852 3220 3565 4340 4991 7130 9982 14260 19964 24955 33587 49910 67174 99820 134348 167935 235109 335870 470218 671740 772501 940436 1041197 1175545 1545002 2082394 2351090 3090004 3862505 4164788 4702180 5205985 5407507 7288379 7725010 10411970 10815014 14576758 15450020 20823940 21630028 23947531 27037535 29153516 36441895 47895062 54075070 72883790 95790124 108150140 119737655 145767580 167632717 239475310 335265434 478950620 670530868 838163585 1676327170 3352654340