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742135350 = 2352112311319
BaseRepresentation
bin101100001111000…
…001011000110110
31220201110101022110
4230033001120312
53004441312400
6201350311450
724251021625
oct5417013066
91821411273
10742135350
11350a09300
12188658586
13ba9a2b58
14707c56bc
1545246e50
hex2c3c1636

742135350 has 144 divisors (see below), whose sum is σ = 2089866240. Its totient is φ = 173976000.

The previous prime is 742135343. The next prime is 742135351. The reversal of 742135350 is 53531247.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742135351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561991 + ... + 563309.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 2742135350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742135350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044933120).

742135350 is an abundant number, since it is smaller than the sum of its proper divisors (1347730890).

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

742135350 is a wasteful number, since it uses less digits than its factorization.

742135350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 742135350 is about 27242.1612578738. The cubic root of 742135350 is about 905.3733490046.

Adding to 742135350 its reverse (53531247), we get a palindrome (795666597).

The spelling of 742135350 in words is "seven hundred forty-two million, one hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 121 150 155 165 186 242 275 310 330 341 363 465 550 605 682 726 775 825 930 1023 1210 1319 1550 1650 1705 1815 2046 2325 2638 3025 3410 3630 3751 3957 4650 5115 6050 6595 7502 7914 8525 9075 10230 11253 13190 14509 17050 18150 18755 19785 22506 25575 29018 32975 37510 39570 40889 43527 51150 56265 65950 72545 81778 87054 93775 98925 112530 122667 145090 159599 187550 197850 204445 217635 245334 281325 319198 362725 408890 435270 449779 478797 562650 613335 725450 797995 899558 957594 1022225 1088175 1226670 1349337 1595990 2044450 2176350 2248895 2393985 2698674 3066675 3989975 4497790 4787970 4947569 6133350 6746685 7979950 9895138 11244475 11969925 13493370 14842707 22488950 23939850 24737845 29685414 33733425 49475690 67466850 74213535 123689225 148427070 247378450 371067675 742135350