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350640640 = 2957171151
BaseRepresentation
bin10100111001100…
…101101000000000
3220102210101112101
4110321211220000
51204231000030
654443240144
711455252630
oct2471455000
9812711471
10350640640
1116aa22559
1299519054
135784b98c
14347d66c0
1520bb37ca
hex14e65a00

350640640 has 160 divisors (see below), whose sum is σ = 1018220544. Its totient is φ = 113049600.

The previous prime is 350640637. The next prime is 350640673. The reversal of 350640640 is 46046053.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 350640599 and 350640608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304065 + ... + 305215.

Almost surely, 2350640640 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 350640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509110272).

350640640 is an abundant number, since it is smaller than the sum of its proper divisors (667579904).

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

350640640 is a wasteful number, since it uses less digits than its factorization.

350640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 350640640 is about 18725.4009302872. The cubic root of 350640640 is about 705.1595903149.

Adding to 350640640 its reverse (46046053), we get a palindrome (396686693).

The spelling of 350640640 in words is "three hundred fifty million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 512 544 560 595 640 680 896 952 1088 1120 1151 1190 1280 1360 1792 1904 2176 2240 2302 2380 2560 2720 3584 3808 4352 4480 4604 4760 5440 5755 7616 8057 8704 8960 9208 9520 10880 11510 15232 16114 17920 18416 19040 19567 21760 23020 30464 32228 36832 38080 39134 40285 43520 46040 60928 64456 73664 76160 78268 80570 92080 97835 128912 136969 147328 152320 156536 161140 184160 195670 257824 273938 294656 304640 313072 322280 368320 391340 515648 547876 589312 626144 644560 684845 736640 782680 1031296 1095752 1252288 1289120 1369690 1473280 1565360 2062592 2191504 2504576 2578240 2739380 2946560 3130720 4125184 4383008 5009152 5156480 5478760 6261440 8766016 10018304 10312960 10957520 12522880 17532032 20625920 21915040 25045760 35064064 43830080 50091520 70128128 87660160 175320320 350640640