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3730715352 = 2332721381343
BaseRepresentation
bin1101111001011110…
…0011001011011000
3100121222222222100200
43132113203023120
530120030342402
61414110102200
7161310362100
oct33627431330
910558888320
103730715352
111644989731
128814aa960
13475bb93a0
14275698200
1516c7d221c
hexde5e32d8

3730715352 has 144 divisors (see below), whose sum is σ = 12657939840. Its totient is φ = 983912832.

The previous prime is 3730715321. The next prime is 3730715369. The reversal of 3730715352 is 2535170373.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5193 + ... + 86535.

It is an arithmetic number, because the mean of its divisors is an integer number (87902360).

Almost surely, 23730715352 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 3730715352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328969920).

3730715352 is an abundant number, since it is smaller than the sum of its proper divisors (8927224488).

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

3730715352 is a wasteful number, since it uses less digits than its factorization.

3730715352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81382 (or 81368 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 3730715352 is about 61079.5821203780. The cubic root of 3730715352 is about 1550.9484797700.

The spelling of 3730715352 in words is "three billion, seven hundred thirty million, seven hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 81343 162686 244029 325372 488058 569401 650744 732087 976116 1057459 1138802 1464174 1708203 1952232 2114918 2277604 2928348 3172377 3416406 3985807 4229836 4555208 5124609 5856696 6344754 6832812 7402213 7971614 8459672 9517131 10249218 11957421 12689508 13665624 14804426 15943228 19034262 20498436 22206639 23914842 25379016 29608852 31886456 35872263 38068524 40996872 44413278 47829684 51815491 59217704 66619917 71744526 76137048 88826556 95659368 103630982 133239834 143489052 155446473 177653112 207261964 266479668 286978104 310892946 414523928 466339419 532959336 621785892 932678838 1243571784 1865357676 3730715352