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3372145460 = 22519233531093
BaseRepresentation
bin1100100011111110…
…1101101100110100
322201000021201221022
43020333231230310
523401232123320
61314340440312
7146364522605
oct31077555464
98630251838
103372145460
111480540882
127a13a9098
13419822558
1423dbd9dac
1514b0a4325
hexc8fedb34

3372145460 has 96 divisors (see below), whose sum is σ = 7807484160. Its totient is φ = 1217728512.

The previous prime is 3372145459. The next prime is 3372145477. The reversal of 3372145460 is 645412733.

It is a super-2 number, since 2×33721454602 = 22742730006797223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3372145460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3084674 + ... + 3085766.

It is an arithmetic number, because the mean of its divisors is an integer number (81327960).

Almost surely, 23372145460 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 3372145460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903742080).

3372145460 is an abundant number, since it is smaller than the sum of its proper divisors (4435338700).

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

3372145460 is a wasteful number, since it uses less digits than its factorization.

3372145460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3372145460 is about 58070.1770274553. The cubic root of 3372145460 is about 1499.5769859024.

The spelling of 3372145460 in words is "three billion, three hundred seventy-two million, one hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 353 380 437 460 706 874 1093 1412 1748 1765 2185 2186 3530 4370 4372 5465 6707 7060 8119 8740 10930 13414 16238 20767 21860 25139 26828 32476 33535 40595 41534 50278 67070 81190 83068 100556 103835 125695 134140 154261 162380 207670 251390 308522 385829 415340 477641 502780 617044 771305 771658 955282 1542610 1543316 1910564 1929145 2388205 3085220 3858290 4776410 7330751 7716580 8874067 9552820 14661502 17748134 29323004 35496268 36653755 44370335 73307510 88740670 146615020 168607273 177481340 337214546 674429092 843036365 1686072730 3372145460