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3322142040 = 2335717232643
BaseRepresentation
bin1100011000000011…
…1101110101011000
322120112012022010210
43012000331311120
523300432021130
61305353011120
7145216512210
oct30600756530
98515168123
103322142040
111455298538
127886b3aa0
1340c365729
14237301240
151469c85b0
hexc603dd58

3322142040 has 128 divisors (see below), whose sum is σ = 12060264960. Its totient is φ = 714676224.

The previous prime is 3322142027. The next prime is 3322142041. The reversal of 3322142040 is 402412233.

It is a super-2 number, since 2×33221420402 = 22073255467870723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3322141998 and 3322142016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322142041) 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, 102042 + ... + 130601.

It is an arithmetic number, because the mean of its divisors is an integer number (94220820).

Almost surely, 23322142040 is an apocalyptic number.

3322142040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3322142040 is an abundant number, since it is smaller than the sum of its proper divisors (8738122920).

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

3322142040 is a wasteful number, since it uses less digits than its factorization.

3322142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232681 (or 232677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3322142040 is about 57638.0259897925. The cubic root of 3322142040 is about 1492.1279506069.

Adding to 3322142040 its reverse (402412233), we get a palindrome (3724554273).

The spelling of 3322142040 in words is "three billion, three hundred twenty-two million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 232643 465286 697929 930572 1163215 1395858 1628501 1861144 2326430 2791716 3257002 3489645 3954931 4652860 4885503 5583432 6514004 6979290 7909862 8142505 9305720 9771006 11864793 13028008 13958580 15819724 16285010 19542012 19774655 23729586 24427515 27684517 27917160 31639448 32570020 39084024 39549310 47459172 48855030 55369034 59323965 65140040 79098620 83053551 94918344 97710060 110738068 118647930 138422585 158197240 166107102 195420120 221476136 237295860 276845170 332214204 415267755 474591720 553690340 664428408 830535510 1107380680 1661071020 3322142040